@ article{ MR713968,
author = {Aleshin, S. V.},
title = {A free group of finite automata},
journal = {Vestnik Moskov. Univ. Ser. I Mat. Mekh.},
number = { 4},
year = { 1983},
pages = { 12\texttt{ \symbol{ 45}} 14},
fjournal = {Vestnik Moskovskogo Universiteta. Seriya I.
Matematika, Mekhanika},
issn = { 0201\texttt{ \symbol{ 45}} 7385},
mrclass = { 68D30 ( 20E05)},
mrnumber = {MR713968 ( 84j: 68035)},
mrreviewer = {Boris M. Schein},
printedkey = {Ale83}
}
@ article{ MR1981466,
author = {Bartholdi, L.},
title = {A {W}ilson group of non \texttt{ \symbol{ 45}}uniformly
exponential growth},
journal = {C. R. Math. Acad. Sci. Paris},
volume = { 336},
number = { 7},
year = { 2003},
pages = { 549\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 554},
fjournal = {Comptes Rendus Math{ \a'e}matique. Acad{\a'e}mie des
Sciences. Paris},
issn = { 1631\texttt{ \symbol{ 45}} 073X},
mrclass = { 20F05},
mrnumber = {MR1981466 ( 2004c: 20051)},
mrreviewer = {Stephen P. Humphries},
printedkey = {Bar03}
}
@ article{ MR2176547,
author = {Bartholdi, L. and Vir{ \a'a}g, B.},
title = {Amenability via random walks},
journal = {Duke Math. J.},
volume = { 130},
number = { 1},
year = { 2005},
pages = { 39\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 56},
coden = {DUMJAO},
fjournal = {Duke Mathematical Journal},
issn = { 0012\texttt{ \symbol{ 45}} 7094},
mrclass = { 43A07 ( 20P05 60G50)},
mrnumber = {MR2176547 ( 2006h: 43001)},
mrreviewer = {Vydas { \v C}ekanavi{ \v c}ius},
printedkey = {BV05}
}
@incollection{ MR2091700,
author = {Bartholdi, L. and Grigorchuk, R. I. and Nekrashevych,
V.},
booktitle = {Fractals in Graz 2001},
title = {From fractal groups to fractal sets},
publisher = {Birkh{ \"a}user},
series = {Trends Math.},
address = {Basel},
year = { 2003},
pages = { 25\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 118},
mrclass = { 20E08 ( 05B45 20F65 28A80 37F50)},
mrnumber = {MR2091700 ( 2005h: 20056)},
mrreviewer = {Richard Kenyon},
printedkey = {BGN03}
}
@incollection{ MR2035113,
author = {Bartholdi, L. and Grigorchuk, R. I. and { \v
S}uni{ \a'k}, Z.},
booktitle = {Handbook of algebra, Vol. 3},
title = {Branch groups},
publisher = {North \texttt{ \symbol{ 45}}Holland},
address = {Amsterdam},
year = { 2003},
pages = { 989\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 1112},
mrclass = { 20E08 ( 05C25 20F10 20F65 22D10 37B05 43A07 68Q70)},
mrnumber = {MR2035113 ( 2005f: 20046)},
mrreviewer = {Tullio G. Ceccherini \texttt{ \symbol{ 45}}Silberstein},
printedkey = {BG{ \v S} 03}
}
@ article{ MR1856923,
author = {Bartholdi, L. and { \v S}uni{ \a'k}, Z.},
title = {On the word and period growth of some groups of tree
automorphisms},
journal = {Comm. Algebra},
volume = { 29},
number = { 11},
year = { 2001},
pages = { 4923\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 4964},
coden = {COALDM},
fjournal = {Communications in Algebra},
issn = { 0092\texttt{ \symbol{ 45}} 7872},
mrclass = { 20E08 ( 05C25 20F65)},
mrnumber = {MR1856923 ( 2002i: 20040)},
mrreviewer = {S. Andreadakis},
printedkey = {B{ \v S} 01}
}
@ article{ MR2009317,
author = {Bartholdi, L.},
title = {Endomorphic presentations of branch groups},
journal = {J. Algebra},
volume = { 268},
number = { 2},
year = { 2003},
pages = { 419\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 443},
coden = {JALGA4},
fjournal = { Journal of Algebra},
issn = { 0021\texttt{ \symbol{ 45}} 8693},
mrclass = { 20F05},
mrnumber = {MR2009317 ( 2004h: 20044)},
mrreviewer = {Ilya Kapovich},
printedkey = {Bar03}
}
@ article{ MR1899368,
author = {Bartholdi, L. and Grigorchuk, R. I.},
title = {On parabolic subgroups and {H}ecke algebras of some
fractal groups},
journal = {Serdica Math. J.},
volume = { 28},
number = { 1},
year = { 2002},
pages = { 47\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 90},
fjournal = {Serdica. Mathematical Journal. Serdika. Matematichesko
Spisanie},
issn = { 1310\texttt{ \symbol{ 45}} 6600},
mrclass = { 20E08 ( 20C08)},
mrnumber = {MR1899368 ( 2003c: 20027)},
mrreviewer = {S. Andreadakis},
printedkey = {BG02}
}
@ article{ MR2194959,
author = {Bartholdi, L. and Reznykov, I. I. and Sushchansky, V.
I.},
title = {The smallest {M}ealy automaton of intermediate growth},
journal = {J. Algebra},
volume = { 295},
number = { 2},
year = { 2006},
pages = { 387\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 414},
coden = {JALGA4},
fjournal = { Journal of Algebra},
issn = { 0021\texttt{ \symbol{ 45}} 8693},
mrclass = { 68Q45 ( 20M35 68Q70)},
mrnumber = {MR2194959 ( 2006i: 68060)},
mrreviewer = {K. G. Peeva},
printedkey = {BRS06}
}
@unpublished{ 1003. 1125,
author = {Bartholdi, L.},
title = {Self \texttt{ \symbol{ 45}}similar Lie algebras},
year = { 2010},
note = {arXiv:math/ 1003. 1125},
printedkey = {Bar10}
}
@ article{ MR0142635,
author = {Baumslag, G. and Solitar, D.},
title = {Some two \texttt{ \symbol{ 45}}generator
one \texttt{ \symbol{ 45}}relator
non \texttt{ \symbol{ 45}}{H}opfian groups},
journal = {Bull. Amer. Math. Soc.},
volume = { 68},
year = { 1962},
pages = { 199\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 201},
mrclass = { 20. 99},
mrnumber = {MR0142635 ( 26 \#204)},
mrreviewer = {B. H. Neumann},
printedkey = {BS62}
}
@ article{ MR2043362,
author = {Bellingeri, P.},
title = {On presentations of surface braid groups},
journal = {J. Algebra},
volume = { 274},
number = { 2},
year = { 2004},
pages = { 543\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 563},
coden = {JALGA4},
fjournal = { Journal of Algebra},
issn = { 0021\texttt{ \symbol{ 45}} 8693},
mrclass = { 20F36},
mrnumber = {MR2043362 ( 2005a: 20052)},
mrreviewer = {Darren D. Long},
printedkey = {Bel04}
}
@ article{ MR3004256,
author = {Begue, M. and Kelleher, D. J. and Nelson, A. and
Panzo, H. and Pellico, R. and Teplyaev, A.},
title = {Random walks on barycentric subdivisions and the
{S}trichartz hexacarpet},
journal = {Exp. Math.},
volume = { 21},
number = { 4},
year = { 2012},
pages = { 402\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 417},
fjournal = {Experimental Mathematics},
issn = { 1058\texttt{ \symbol{ 45}} 6458},
mrclass = { 60G50 ( 28A80 60J60)},
mrnumber = { 3004256},
mrreviewer = {Ren \texttt{ \symbol{ 123}} \texttt{ \symbol{ 92}} 'e\texttt{\symbol{125}}
L. Schilling},
printedkey = {BKNPPT12}
}
@ article{ MR1149891,
author = {Bielefeld, B. and Fisher, Y. and Hubbard, J.},
title = {The classification of critically preperiodic
polynomials as dynamical systems},
journal = {J. Amer. Math. Soc.},
volume = { 5},
number = { 4},
year = { 1992},
pages = { 721\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 762},
fjournal = { Journal of the American Mathematical Society},
issn = { 0894\texttt{ \symbol{ 45}} 0347},
mrclass = { 58F23 ( 30D05)},
mrnumber = {MR1149891 ( 93h: 58128)},
mrreviewer = {Feliks Przytycki},
printedkey = {BFH92}
}
@ article{ MR1656573,
author = {Brunner, A. M. and Sidki, S. N. and Vieira, A. C.},
title = {A just nonsolvable torsion \texttt{ \symbol{ 45}}free
group defined on the binary tree},
journal = {J. Algebra},
volume = { 211},
number = { 1},
year = { 1999},
pages = { 99\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 114},
coden = {JALGA4},
fjournal = { Journal of Algebra},
issn = { 0021\texttt{ \symbol{ 45}} 8693},
mrclass = { 20E08},
mrnumber = {MR1656573 ( 99m: 20054)},
mrreviewer = {Olympia Talelli},
printedkey = {BSV99}
}
@ article{ MR1314589,
author = {Charney, R.},
title = {Geodesic automation and growth functions for {A}rtin
groups of finite type},
journal = {Math. Ann.},
volume = { 301},
number = { 2},
year = { 1995},
pages = { 307\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 324},
coden = {MAANA},
fjournal = {Mathematische Annalen},
issn = { 0025\texttt{ \symbol{ 45}} 5831},
mrclass = { 20F32 ( 20F10 20F36)},
mrnumber = {MR1314589 ( 95k: 20055)},
mrreviewer = {Susan Hermiller},
printedkey = {Cha95}
}
@incollection{ MR2140091,
author = {Dahmani, F.},
booktitle = {Geometric methods in group theory},
title = {An example of non \texttt{ \symbol{ 45}}contracting
weakly branch automaton group},
publisher = {Amer. Math. Soc.},
series = {Contemp. Math.},
volume = { 372},
address = {Providence, RI},
year = { 2005},
pages = { 219\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 224},
mrclass = { 20E08},
mrnumber = {MR2140091 ( 2006b: 20037)},
mrreviewer = {Laurent Bartholdi},
printedkey = {Dah05}
}
@ book{ MR762431,
author = {Douady, A. and Hubbard, J. H.},
title = {{{ \a'E}}tude dynamique des polyn{\^o}mes complexes.
{P}artie {I}},
publisher = {Universit{ \a'e} de Paris\texttt{\symbol{45}}Sud,
D{ \a'e}partement de Math{\a'e}matiques, Orsay},
series = {Publications Math{ \a'e}matiques d'Orsay [Mathematical
Publications of Orsay]},
volume = { 84},
year = { 1984},
pages = { 75},
mrclass = { 58F08 ( 30D05 39B10)},
mrnumber = {MR762431 ( 87f: 58072a)},
mrreviewer = {M. Rees},
printedkey = {DH84}
}
@ book{ MR812271,
author = {Douady, A. and Hubbard, J. H.},
title = {{{ \a'E}}tude dynamique des polyn{\^o}mes complexes.
{P}artie {II}},
publisher = {Universit{ \a'e} de Paris\texttt{\symbol{45}}Sud,
D{ \a'e}partement de Math{\a'e}matiques, Orsay},
series = {Publications Math{ \a'e}matiques d'Orsay [Mathematical
Publications of Orsay]},
volume = { 85},
year = { 1985},
pages = {v+ 154},
note = {With the collaboration of P. Lavaurs, Tan Lei and P.
Sentenac},
mrclass = { 58F08 ( 30D05 39B10)},
mrnumber = {MR812271 ( 87f: 58072b)},
mrreviewer = {M. Rees},
printedkey = {DH85}
}
@ article{ MR2144977,
author = {Erschler, A.},
title = {Boundary behavior for groups of subexponential growth},
journal = {Ann. of Math. ( 2)},
volume = { 160},
number = { 3},
year = { 2004},
pages = { 1183\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 1210},
coden = {ANMAAH},
fjournal = {Annals of Mathematics. Second Series},
issn = { 0003\texttt{ \symbol{ 45}} 486X},
mrclass = { 20F65 ( 20F05 20P05 60G50)},
mrnumber = {MR2144977 ( 2006d: 20072)},
mrreviewer = {Anders Karlsson},
printedkey = {Ers04}
}
@ article{ MR1153150,
author = {Fabrykowski, J. and Gupta, N.},
title = {On groups with sub \texttt{ \symbol{ 45}}exponential
growth functions. {II}},
journal = {J. Indian Math. Soc. (N.S.)},
volume = { 56},
number = { 1\texttt{ \symbol{ 45}} 4},
year = { 1991},
pages = { 217\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 228},
coden = {JIMTA2},
fjournal = {The Journal of the Indian Mathematical Society. New
Series},
issn = { 0019\texttt{ \symbol{ 45}} 5839},
mrclass = { 20E99 ( 20F05 20F19)},
mrnumber = {MR1153150 ( 93g: 20053)},
mrreviewer = {Martha K. Smith},
printedkey = {FG91}
}
@ article{ MR942349,
author = {Fabrykowski, J. and Gupta, N.},
title = {On groups with sub \texttt{ \symbol{ 45}}exponential
growth functions},
journal = {J. Indian Math. Soc. (N.S.)},
volume = { 49},
number = { 3\texttt{ \symbol{ 45}} 4},
year = { 1985},
pages = { 249\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 256 ( 1987)},
coden = {JIMTA2},
fjournal = {The Journal of the Indian Mathematical Society. New
Series},
issn = { 0019\texttt{ \symbol{ 45}} 5839},
mrclass = { 20E99 ( 20F05 20F19)},
mrnumber = {MR942349 ( 90e: 20029)},
mrreviewer = {Martha K. Smith},
printedkey = {FG85}
}
@ article{ MR565099,
author = {Grigorchuk, R. I.},
title = {On {B}urnside 's problem on periodic groups},
journal = {Funktsional. Anal. i Prilozhen.},
volume = { 14},
number = { 1},
year = { 1980},
pages = { 53\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 54},
fjournal = {Akademiya Nauk SSSR. Funktsional 'ny{\u\i} Analiz i ego
Prilozheniya},
issn = { 0374\texttt{ \symbol{ 45}} 1990},
mrclass = { 20F05},
mrnumber = {MR565099 ( 81m: 20045)},
mrreviewer = {N. S. Chernikov},
printedkey = {Gri80}
}
@ article{ MR764305,
author = {Grigorchuk, R. I.},
title = {Degrees of growth of finitely generated groups and the
theory of invariant means},
journal = {Izv. Akad. Nauk SSSR Ser. Mat.},
volume = { 48},
number = { 5},
year = { 1984},
pages = { 939\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 985},
fjournal = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
issn = { 0373\texttt{ \symbol{ 45}} 2436},
mrclass = { 20F05 ( 43A07)},
mrnumber = {MR764305 ( 86h: 20041)},
mrreviewer = {P. Gerl},
printedkey = {Gri84}
}
@ article{ MR1902367,
author = {Grigorchuk, R. I. and { \.Z}uk, A.},
title = {On a torsion \texttt{ \symbol{ 45}}free weakly branch
group defined by a three state automaton},
journal = {Internat. J. Algebra Comput.},
volume = { 12},
number = { 1\texttt{ \symbol{ 45}} 2},
year = { 2002},
pages = { 223\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 246},
note = {International Conference on Geometric and
Combinatorial Methods in Group Theory and Semigroup
Theory (Lincoln, NE, 2000)},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 20F69 ( 20E08 68Q70)},
mrnumber = {MR1902367 ( 2003c: 20048)},
mrreviewer = {Laurent Bartholdi},
printedkey = {G{ \.Z} 02}
}
@ article{ MR2217913,
author = {Grigorchuk, R. I. and { \v S}uni{ \a'k}, Z.},
title = {Asymptotic aspects of {S}chreier graphs and {H}anoi
{T}owers groups},
journal = {C. R. Math. Acad. Sci. Paris},
volume = { 342},
number = { 8},
year = { 2006},
pages = { 545\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 550},
fjournal = {Comptes Rendus Math{ \a'e}matique. Acad{\a'e}mie des
Sciences. Paris},
issn = { 1631\texttt{ \symbol{ 45}} 073X},
mrclass = { 20E08},
mrnumber = {MR2217913},
printedkey = {G{ \v S} 06}
}
@ article{ MR1902367,
author = {Grigorchuk, R. I. and { \.Z}uk, A.},
title = {On a torsion \texttt{ \symbol{ 45}}free weakly branch
group defined by a three state automaton},
journal = {Internat. J. Algebra Comput.},
volume = { 12},
number = { 1\texttt{ \symbol{ 45}} 2},
year = { 2002},
pages = { 223\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 246},
note = {International Conference on Geometric and
Combinatorial Methods in Group Theory and Semigroup
Theory (Lincoln, NE, 2000)},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 20F69 ( 20E08 68Q70)},
mrnumber = {MR1902367 ( 2003c: 20048)},
mrreviewer = {Laurent Bartholdi},
printedkey = {G{ \.Z} 02}
}
@ article{ MR819415,
author = {Lys{ \"e}nok, I. G.},
title = {A set of defining relations for the {G}rigorchuk group},
journal = {Mat. Zametki},
volume = { 38},
number = { 4},
year = { 1985},
pages = { 503\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 516, 634},
fjournal = {Akademiya Nauk SSSR. Matematicheskie Zametki},
issn = { 0025\texttt{ \symbol{ 45}} 567X},
mrclass = { 20F05},
mrnumber = {MR819415 ( 87g: 20062)},
mrreviewer = {J. Mennicke},
printedkey = {Lys85}
}
@ article{ MR696534,
author = {Gupta, N. and Sidki, S. N.},
title = {On the {B}urnside problem for periodic groups},
journal = {Math. Z.},
volume = { 182},
number = { 3},
year = { 1983},
pages = { 385\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 388},
coden = {MAZEAX},
fjournal = {Mathematische Zeitschrift},
issn = { 0025\texttt{ \symbol{ 45}} 5874},
mrclass = { 20F50},
mrnumber = {MR696534 ( 84g: 20075)},
mrreviewer = {Seymour Bachmuth},
printedkey = {GS83}
}
@ article{ MR1415237,
author = {Lyons, R. and Pemantle, R. and Peres, Y.},
title = {Random walks on the lamplighter group},
journal = {Ann. Probab.},
volume = { 24},
number = { 4},
year = { 1996},
pages = { 1993\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 2006},
coden = {APBYAE},
fjournal = {The Annals of Probability},
issn = { 0091\texttt{ \symbol{ 45}} 1798},
mrclass = { 60B15 ( 60J15)},
mrnumber = {MR1415237 ( 97j: 60014)},
mrreviewer = {Donald I. Cartwright},
printedkey = {LPP96}
}
@ article{ MR1841119,
author = {Macedo{ \a'n}ska, O. and Nekrashevych, V. V. and
Sushchansky, V. I.},
title = {Commensurators of groups and reversible automata},
journal = {Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh.
Nauki},
number = { 12},
year = { 2000},
pages = { 36\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 39},
fjournal = {Dopov{ \a= \i}pd{ \a= \i} Nats{ \a= \i}onal 'no{\"\i}
Akadem{ \a= \i}{ \"\i} Nauk Ukra{ \"\i}ni. Matematika.
Prirodoznavstvo. Tekhn{ \a= \i}chn{ \a= \i} Nauki},
issn = { 1025\texttt{ \symbol{ 45}} 6415},
mrclass = { 20E26 ( 68Q70)},
mrnumber = {MR1841119},
printedkey = {MNS00}
}
@ article{ MR2130844,
author = {Mamaghani, M. J.},
title = {A class of two generated automaton groups on a three
letter alphabet},
journal = {Bull. Iranian Math. Soc.},
volume = { 30},
number = { 1},
year = { 2004},
pages = { 31\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 51, 92},
fjournal = {Iranian Mathematical Society. Bulletin},
issn = { 1017\texttt{ \symbol{ 45}} 060X},
mrclass = { 20E08 ( 68Q70)},
mrnumber = {MR2130844 ( 2005m: 20062)},
mrreviewer = {Laurent Bartholdi},
printedkey = {Mam04}
}
@ article{ MR2139928,
author = {Mamaghani, M. J.},
title = {A fractal non \texttt{ \symbol{ 45}}contracting class of
automata groups},
journal = {Bull. Iranian Math. Soc.},
volume = { 29},
number = { 2},
year = { 2003},
pages = { 51\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 64, 92},
fjournal = {Iranian Mathematical Society. Bulletin},
issn = { 1017\texttt{ \symbol{ 45}} 060X},
mrclass = { 20E08 ( 20F65)},
mrnumber = {MR2139928 ( 2006c: 20055)},
mrreviewer = {Olympia Talelli},
printedkey = {Mam03}
}
@ book{ MR2162164,
author = {Nekrashevych, V.},
title = {Self \texttt{ \symbol{ 45}}similar groups},
publisher = {American Mathematical Society},
series = {Mathematical Surveys and Monographs},
volume = { 117},
address = {Providence, RI},
year = { 2005},
pages = {xii+ 231},
isbn = { 0\texttt{ \symbol{ 45}} 8218\texttt{ \symbol{ 45}} 3831\texttt{ \symbol{ 45}} 8},
mrclass = { 20E08 ( 20F65 37B15 37F10)},
mrnumber = {MR2162164 ( 2006e: 20047)},
mrreviewer = {Laurent Bartholdi},
printedkey = {Nek05}
}
@ article{ MR840129,
author = {Neumann, P. M.},
title = {Some questions of {E}djvet and {P}ride about infinite
groups},
journal = {Illinois J. Math.},
volume = { 30},
number = { 2},
year = { 1986},
pages = { 301\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 316},
coden = {IJMTAW},
fjournal = {Illinois Journal of Mathematics},
issn = { 0019\texttt{ \symbol{ 45}} 2082},
mrclass = { 20E15 ( 20E22)},
mrnumber = {MR840129 ( 88a: 20039)},
mrreviewer = {John S. Wilson},
printedkey = {Neu86}
}
@misc{ math.DS/ 9305207,
author = {Poirier, A.},
title = {{On postcritically finite polynomials, part 1:
critical portraits}},
howpublished = {Stony Brook IMS 1993/ 5},
eprint = {arXiv:math.DS/ 9305207},
printedkey = {Poi}
}
@ article{ MR2197829,
author = {Silva, P. V. and Steinberg, B.},
title = {On a class of automata groups generalizing lamplighter
groups},
journal = {Internat. J. Algebra Comput.},
volume = { 15},
number = { 5\texttt{ \symbol{ 45}} 6},
year = { 2005},
pages = { 1213\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 1234},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 20F65 ( 68Q70)},
mrnumber = {MR2197829},
printedkey = {SS05}
}
@unpublished{ 0610033,
author = {Steinberg, B. and Vorobets, M. and Vorobets, Y.},
title = {Automata over a binary alphabet generating free groups
of even rank},
year = { 2006},
note = {arXiv:math.GR/ 0610033},
printedkey = {SVV06}
}
@unpublished{ tan:database,
author = {Tan, D. T.},
title = {Quadratische Morphismen},
year = { 2002},
note = {Diplomarbeit at ETHZ, under the supervision of R. Pink},
printedkey = {Tan02}
}
@ article{ MR2318547,
author = {Vorobets, M. and Vorobets, Y.},
title = {On a free group of transformations defined by an
automaton},
journal = {Geom. Dedicata},
volume = { 124},
year = { 2007},
pages = { 237\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 249},
coden = {GEMDAT},
fjournal = {Geometriae Dedicata},
issn = { 0046\texttt{ \symbol{ 45}} 5755},
mrclass = { 20E05 ( 20E08)},
mrnumber = {MR2318547 ( 2008i: 20030)},
mrreviewer = {Daniel P. Groves},
url = { https://doi.org/10. 1007/s10711 \texttt{ \symbol{ 45}} 006\texttt{ \symbol{ 45}} 9060\texttt{ \symbol{ 45}} 5},
doi = { 10. 1007/s10711 \texttt{ \symbol{ 45}} 006\texttt{ \symbol{ 45}} 9060\texttt{ \symbol{ 45}} 5},
printedkey = {VV07}
}
@unpublished{ 0604328,
author = {Vorobets, M. and Vorobets, Y.},
title = {On a series of finite automata defining free
transformation groups},
year = { 2006},
note = {arXiv:math.GR/ 0604328},
printedkey = {VV06}
}
@unpublished{ 0810. 4936,
author = {Nekrashevych, V.},
title = {Combinatorial models of expanding dynamical systems},
year = { 2008},
note = {arXiv:math.GR/ 0810. 4936},
printedkey = {Nek08}
}
@unpublished{ 0811. 2777,
author = {Nekrashevych, V.},
title = {The Julia set of a post \texttt{ \symbol{ 45}}critically
finite endomorphism of PC \texttt{ \symbol{ 94}} 2},
year = { 2008},
note = {arXiv:math.GR/ 0811. 2777},
printedkey = {Nek08}
}
@ article{ MR1839488,
author = {Burger, M. and Mozes, S.},
title = {Groups acting on trees: from local to global structure},
journal = {Inst. Hautes { \a'E}tudes Sci. Publ. Math.},
number = { 92},
year = { 2000},
pages = { 113\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 150 ( 2001)},
coden = {PMIHA6},
fjournal = {Institut des Hautes { \a'E}tudes Scientifiques.
Publications Math{ \a'e}matiques},
issn = { 0073\texttt{ \symbol{ 45}} 8301},
mrclass = { 20E08},
mrnumber = {MR1839488 ( 2002i: 20041)},
mrreviewer = {Alexander Lubotzky},
printedkey = {BM00}
}
@ article{ MR1839489,
author = {Burger, M. and Mozes, S.},
title = {Lattices in product of trees},
journal = {Inst. Hautes { \a'E}tudes Sci. Publ. Math.},
number = { 92},
year = { 2000},
pages = { 151\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 194 ( 2001)},
coden = {PMIHA6},
fjournal = {Institut des Hautes { \a'E}tudes Scientifiques.
Publications Math{ \a'e}matiques},
issn = { 0073\texttt{ \symbol{ 45}} 8301},
mrclass = { 20E08 ( 22E40)},
mrnumber = {MR1839489 ( 2002i: 20042)},
mrreviewer = {Alexander Lubotzky},
printedkey = {BM00}
}
@ article{ MR2155175,
author = {Glasner, Y. and Mozes, S.},
title = {Automata and square complexes},
journal = {Geom. Dedicata},
volume = { 111},
year = { 2005},
pages = { 43\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 64},
coden = {GEMDAT},
fjournal = {Geometriae Dedicata},
issn = { 0046\texttt{ \symbol{ 45}} 5755},
mrclass = { 20M35 ( 20E08 20F05 37B10 37B15)},
mrnumber = {MR2155175 ( 2006g: 20112)},
mrreviewer = {Alain Valette},
printedkey = {GM05}
}
@ article{ MR2318546,
author = {{ \v S}uni{ \a'c}, Z.},
title = {Hausdorff dimension in a family of
self \texttt{ \symbol{ 45}}similar groups},
journal = {Geom. Dedicata},
volume = { 124},
year = { 2007},
pages = { 213\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 236},
coden = {GEMDAT},
fjournal = {Geometriae Dedicata},
issn = { 0046\texttt{ \symbol{ 45}} 5755},
mrclass = { 20E08 ( 20E18 20F50 20F69)},
mrnumber = {MR2318546},
printedkey = {{ \v S}un07}
}
@ article{ vneumann,
author = {von Neumann, J.},
title = {Zur allgemeinen {Theorie} des {Masses}},
journal = {Fund. Math.},
volume = { 13},
year = { 1929},
pages = { 73\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 116 and 333},
note = {(= Collected works, vol. I, pages
599\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 643)},
printedkey = {vN29}
}
@ article{ MR1446574,
author = {Burger, M. and Mozes, S.},
title = {Finitely presented simple groups and products of trees},
journal = {C. R. Acad. Sci. Paris S{ \a'e}r. I Math.},
volume = { 324},
number = { 7},
year = { 1997},
pages = { 747\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 752},
coden = {CASMEI},
fjournal = {Comptes Rendus de l 'Acad{\a'e}mie des Sciences.
S{ \a'e}rie I. Math{\a'e}matique},
issn = { 0764\texttt{ \symbol{ 45}} 4442},
mrclass = { 20E08 ( 20E32)},
mrnumber = {MR1446574 ( 98g: 20041)},
mrreviewer = {Olympia Talelli},
printedkey = {BM97}
}
@ article{ MR1774362,
author = {Sidki, S. N.},
title = {Automorphisms of one \texttt{ \symbol{ 45}}rooted trees:
growth, circuit structure, and acyclicity},
journal = {J. Math. Sci. (New York)},
volume = { 100},
number = { 1},
year = { 2000},
pages = { 1925\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 1943},
note = {Algebra, 12},
coden = {JMTSEW},
fjournal = { Journal of Mathematical Sciences (New York)},
issn = { 1072\texttt{ \symbol{ 45}} 3374},
mrclass = { 05C25 ( 05C45 68Q45)},
mrnumber = {MR1774362 ( 2002g: 05100)},
printedkey = {Sid00}
}
@ article{ MR1995624,
author = {Sidki, S. N. and Wilson, J. S.},
title = {Free subgroups of branch groups},
journal = {Arch. Math. (Basel)},
volume = { 80},
number = { 5},
year = { 2003},
pages = { 458\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 463},
coden = {ACVMAL},
fjournal = {Archiv der Mathematik},
issn = { 0003\texttt{ \symbol{ 45}} 889X},
mrclass = { 20E08 ( 20E22)},
mrnumber = {MR1995624 ( 2004g: 20038)},
mrreviewer = {Vincent Guirardel},
printedkey = {SW03}
}
@ article{ MR2197828,
author = {Sidki, S. N.},
title = {Tree \texttt{ \symbol{ 45}}wreathing applied to
generation of groups by finite automata},
journal = {Internat. J. Algebra Comput.},
volume = { 15},
number = { 5\texttt{ \symbol{ 45}} 6},
year = { 2005},
pages = { 1205\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 1212},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 20E08 ( 20E22 20F10)},
mrnumber = {MR2197828 ( 2007f: 20048)},
mrreviewer = {Armando Martino},
printedkey = {Sid05}
}
@ article{ MR2390328,
author = {Shestakov, I. P. and Zelmanov, E.},
title = {Some examples of nil {L}ie algebras},
journal = {J. Eur. Math. Soc. (JEMS)},
volume = { 10},
number = { 2},
year = { 2008},
pages = { 391\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 398},
fjournal = { Journal of the European Mathematical Society (JEMS)},
issn = { 1435\texttt{ \symbol{ 45}} 9855},
mrclass = { 17B65},
mrnumber = {MR2390328},
printedkey = {SZ08}
}
@ article{ MR2293788,
author = {Petrogradsky, V. M.},
title = {Examples of self \texttt{ \symbol{ 45}}iterating {L}ie
algebras},
journal = {J. Algebra},
volume = { 302},
number = { 2},
year = { 2006},
pages = { 881\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 886},
coden = {JALGA4},
fjournal = { Journal of Algebra},
issn = { 0021\texttt{ \symbol{ 45}} 8693},
mrclass = { 17B50 ( 17B40)},
mrnumber = {MR2293788 ( 2008b: 17029)},
mrreviewer = {Marin \texttt{ \symbol{ 123}} \texttt{ \symbol{ 92}} \texttt{ \symbol{ 94}}e \texttt{ \symbol{ 125}}s
Guerreiro},
printedkey = {Pet06}
}
@ article{ MR1672176,
author = {Renka, R. J.},
title = {Algorithm 772: {STRIPACK}: {D}elaunay triangulation
and {V}oronoi diagram on the surface of a sphere},
journal = {ACM Trans. Math. Software},
volume = { 23},
number = { 3},
year = { 1997},
pages = { 416\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 434},
coden = {ACMSCU},
fjournal = {Association for Computing Machinery. Transactions on
Mathematical Software},
issn = { 0098\texttt{ \symbol{ 45}} 3500},
mrclass = { 65Y15},
mrnumber = {MR1672176},
printedkey = {Ren97}
}
@incollection{ MR1315537,
author = {Hubbard, J. H. and Schleicher, D.},
booktitle = {Complex dynamical systems ({C}incinnati, {OH}, 1994)},
title = {The spider algorithm},
publisher = {Amer. Math. Soc.},
series = {Proc. Sympos. Appl. Math.},
volume = { 49},
address = {Providence, RI},
year = { 1994},
pages = { 155\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 180},
mrclass = { 58F23 ( 30D05)},
mrnumber = {MR1315537},
printedkey = {HS94}
}
@phdthesis{ Rattaggi,
author = {Rattaggi, D.},
title = {Computations in Groups Acting on a Product of Trees:
Normal Subgroup Structures and Quaternion Lattices},
school = {Eidgen{ \"o}ssische Technische Hochschule Z{ \"u}rich},
year = { 2004},
printedkey = {Rat04}
}
@ article{ MR2254535,
author = {Bartholdi, L.},
title = {Branch rings, thinned rings, tree enveloping rings},
journal = {Israel J. Math.},
volume = { 154},
year = { 2006},
pages = { 93\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 139},
coden = {ISJMAP},
fjournal = {Israel Journal of Mathematics},
issn = { 0021\texttt{ \symbol{ 45}} 2172},
mrclass = { 20E08 ( 16S34 17B50)},
mrnumber = {MR2254535 ( 2007k: 20051)},
mrreviewer = {Tullio G. Ceccherini \texttt{ \symbol{ 45}}Silberstein},
printedkey = {Bar06}
}
@ article{ MR2394721,
author = {Bartholdi, L. and Reznykov, I. I.},
title = {A {M}ealy machine with polynomial growth of irrational
degree},
journal = {Internat. J. Algebra Comput.},
volume = { 18},
number = { 1},
year = { 2008},
pages = { 59\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 82},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 68Q45 ( 68Q42)},
mrnumber = {MR2394721 ( 2009b: 68087)},
printedkey = {BR08}
}
@ article{ MR1423285,
author = {Sidki, S. N.},
title = {A primitive ring associated to a {B}urnside
{$ 3$} \texttt{ \symbol{ 45}}group},
journal = {J. London Math. Soc. ( 2)},
volume = { 55},
number = { 1},
year = { 1997},
pages = { 55\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 64},
coden = {JLMSAK},
fjournal = { Journal of the London Mathematical Society. Second
Series},
issn = { 0024\texttt{ \symbol{ 45}} 6107},
mrclass = { 16D60 ( 16S34 20F50)},
mrnumber = {MR1423285 ( 97m: 16006)},
mrreviewer = {Edmund R.
Puczy \texttt{ \symbol{ 123}} \texttt{ \symbol{ 92}}l \texttt{ \symbol{ 125}}owski},
printedkey = {Sid97}
}
@ article{ MR2483125,
author = {Bartholdi, L. and Eick, B. and Hartung, R.},
title = {A nilpotent quotient algorithm for certain infinitely
presented groups and its applications},
journal = {Internat. J. Algebra Comput.},
volume = { 18},
number = { 8},
year = { 2008},
pages = { 1321\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 1344},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 20\texttt{ \symbol{ 45}} 04 ( 20F18)},
mrnumber = {MR2483125},
printedkey = {BEH08}
}
@ article{ MR2422072,
author = {Bacher, R.},
title = {Determinants related to {D}irichlet characters modulo
2, 4 and 8 of binomial coefficients and the algebra of
recurrence matrices},
journal = {Internat. J. Algebra Comput.},
volume = { 18},
number = { 3},
year = { 2008},
pages = { 535\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 566},
fjournal = {International Journal of Algebra and Computation},
issn = { 0218\texttt{ \symbol{ 45}} 1967},
mrclass = { 15A15 ( 11B65)},
mrnumber = {MR2422072 ( 2009c: 15006)},
mrreviewer = {Ravindra B. Bapat},
printedkey = {Bac08}
}
@misc{ PSZ,
author = {Petrogradsky, V. and Shestakov, I. and Zelmanov, E.},
title = {{Nil graded self \texttt{ \symbol{ 45}}similar algebras}},
howpublished = {Submitted},
printedkey = {PSZ}
}
@ article{ MR2121737,
author = {Springborn, B. A.},
title = {A unique representation of polyhedral types.
{C}entering via {M} \texttt{ \symbol{ 92}} "obius
transformations},
journal = {Math. Z.},
volume = { 249},
number = { 3},
year = { 2005},
pages = { 513\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 517},
coden = {MAZEAX},
fjournal = {Mathematische Zeitschrift},
issn = { 0025\texttt{ \symbol{ 45}} 5874},
mrclass = { 52B10},
mrnumber = { 2121737 ( 2005k: 52022)},
mrreviewer = {Ivan Soprunov},
url = { https://doi.org/10. 1007/s00209 \texttt{ \symbol{ 45}} 004\texttt{ \symbol{ 45}} 0713\texttt{ \symbol{ 45}} 5},
doi = { 10. 1007/s00209 \texttt{ \symbol{ 45}} 004\texttt{ \symbol{ 45}} 0713\texttt{ \symbol{ 45}} 5},
printedkey = {Spr05}
}
@ article{ MR3054572,
author = {Bondarenko, I. V. and Bondarenko, N. V. and Sidki, S.
N. and Zapata, F. R.},
title = {On the conjugacy problem for
finite \texttt{ \symbol{ 45}}state automorphisms of
regular rooted trees},
journal = {Groups Geom. Dyn.},
volume = { 7},
number = { 2},
year = { 2013},
pages = { 323\texttt{ \symbol{ 45}} \texttt{ \symbol{ 45}} 355},
note = {With an appendix by
Rapha \texttt{ \symbol{ 123}} \texttt{ \symbol{ 92}} "e\texttt{\symbol{125}}l
M. Jungers},
fjournal = {Groups, Geometry, and Dynamics},
issn = { 1661\texttt{ \symbol{ 45}} 7207},
mrclass = { 20E08 ( 20F10)},
mrnumber = { 3054572},
mrreviewer = {Fran \texttt{ \symbol{ 123}} \texttt{ \symbol{ 92}}c \texttt{ \symbol{ 123}}c \texttt{ \symbol{ 125}} \texttt{ \symbol{ 125}}ois
Dahmani},
url = { https://doi.org/10. 4171/GGD/ 184},
doi = { 10. 4171/GGD/ 184},
printedkey = {BBSZ13}
}
¤ Dauer der Verarbeitung: 0.7 Sekunden
(vorverarbeitet am 2026-11-04)
¤
*© Formatika GbR, Deutschland
|
|