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<h3>References</h3>


<p><a id="biBMR713968" name="biBMR713968"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR713968">Ale83</a></span>]   <b class='BibAuthor'>Aleshin, S. V.</b>,
 <i class='BibTitle'>A free group of finite automata</i>,
 <span class='BibJournal'>Vestnik Moskov. Univ. Ser. I Mat. Mekh.</span> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>1983</span>),
 <span class='BibPages'>12-14</span>.
</p>


<p><a id="biBMR2422072" name="biBMR2422072"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2422072">Bac08</a></span>]   <b class='BibAuthor'>Bacher, R.</b>,
 <i class='BibTitle'>Determinants related to Dirichlet characters modulo 2, 4 and
       8 of binomial coefficients and the algebra of recurrence
       matrices</i>,
 <span class='BibJournal'>Internat. J. Algebra Comput.</span>,
 <em class='BibVolume'>18</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>535--566</span>.
</p>


<p><a id="biBMR2009317" name="biBMR2009317"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2009317">Bar03a</a></span>]   <b class='BibAuthor'>Bartholdi, L.</b>,
 <i class='BibTitle'>Endomorphic presentations of branch groups</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>268</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>419--443</span>.
</p>


<p><a id="biBMR1981466" name="biBMR1981466"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1981466">Bar03b</a></span>]   <b class='BibAuthor'>Bartholdi, L.</b>,
 <i class='BibTitle'>A Wilson group of non-uniformly exponential growth</i>,
 <span class='BibJournal'>C. R. Math. Acad. Sci. Paris</span>,
 <em class='BibVolume'>336</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>549--554</span>.
</p>


<p><a id="biBMR2254535" name="biBMR2254535"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2254535">Bar06</a></span>]   <b class='BibAuthor'>Bartholdi, L.</b>,
 <i class='BibTitle'>Branch rings, thinned rings, tree enveloping rings</i>,
 <span class='BibJournal'>Israel J. Math.</span>,
 <em class='BibVolume'>154</em>
 (<span class='BibYear'>2006</span>),
 <span class='BibPages'>93--139</span>.
</p>


<p><a id="biB1003.1125" name="biB1003.1125"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Bar10</span>]   <b class='BibAuthor'>Bartholdi, L.</b>,
 <i class='BibTitle'>Self-similar Lie algebras</i>
 (<span class='BibYear'>2010</span>)<br />
(<span class='BibNote'>arXiv:math/1003.1125</span>).
</p>


<p><a id="biBMR3054572" name="biBMR3054572"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3054572">BBSZ13</a></span>]   <b class='BibAuthor'>Bondarenko, I. V., Bondarenko, N. V., Sidki, S. N. and Zapata, F. R.</b>,
<a href="https://doi.org/10.4171/GGD/184"><i class='BibTitle'>On the conjugacy problem for finite-state automorphisms of
              regular rooted trees</i></a>,
 <span class='BibJournal'>Groups Geom. Dyn.</span>,
 <em class='BibVolume'>7</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2013</span>),
 <span class='BibPages'>323--355</span><br />
(<span class='BibNote'>With an appendix by Rapha{\"e}l M. Jungers).

</p>


<p><a id="biBMR2483125" name="biBMR2483125"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2483125">BEH08</a></span>]   <b class='BibAuthor'>Bartholdi, L., Eick, B. and Hartung, R.</b>,
 <i class='BibTitle'>A nilpotent quotient algorithm for certain infinitely
       presented groups and its applications</i>,
 <span class='BibJournal'>Internat. J. Algebra Comput.</span>,
 <em class='BibVolume'>18</em> (<span class='BibNumber'>8</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>1321--1344</span>.
</p>


<p><a id="biBMR2043362" name="biBMR2043362"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2043362">Bel04</a></span>]   <b class='BibAuthor'>Bellingeri, P.</b>,
 <i class='BibTitle'>On presentations of surface braid groups</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>274</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2004</span>),
 <span class='BibPages'>543--563</span>.
</p>


<p><a id="biBMR1899368" name="biBMR1899368"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1899368">BG02</a></span>]   <b class='BibAuthor'>Bartholdi, L. and Grigorchuk, R. I.</b>,
 <i class='BibTitle'>On parabolic subgroups and Hecke algebras of some fractal
       groups</i>,
 <span class='BibJournal'>Serdica Math. J.</span>,
 <em class='BibVolume'>28</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>47--90</span>.
</p>


<p><a id="biBMR2091700" name="biBMR2091700"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2091700">BGN03</a></span>]   <b class='BibAuthor'>Bartholdi, L., Grigorchuk, R. I. and Nekrashevych, V.</b>,
 <i class='BibTitle'>From fractal groups to fractal sets</i>,
  in  <i class='BibBooktitle'>Fractals in Graz 2001</i>,
 <span class='BibPublisher'>Birkhäuser</span>,
 <span class='BibSeries'>Trends Math.</span>,
 <span class='BibAddress'>Basel</span>
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>25--118</span>.
</p>


<p><a id="biBMR2035113" name="biBMR2035113"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2035113">BG{Š}03</a></span>]   <b class='BibAuthor'>Bartholdi, L., Grigorchuk, R. I. and Šuniḱ, Z.</b>,
 <i class='BibTitle'>Branch groups</i>,
  in  <i class='BibBooktitle'>Handbook of algebra, Vol. 3</i>,
 <span class='BibPublisher'>North-Holland</span>,
 <span class='BibAddress'>Amsterdam</span>
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>989--1112</span>.
</p>


<p><a id="biBMR3004256" name="biBMR3004256"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=3004256">BKN+12</a></span>]   <b class='BibAuthor'>Begue, M., Kelleher, D. J., Nelson, A., Panzo, H., Pellico, R. and Teplyaev, A.</b>,
 <i class='BibTitle'>Random walks on barycentric subdivisions and the Strichartz
              hexacarpet</i>,
 <span class='BibJournal'>Exp. Math.</span>,
 <em class='BibVolume'>21</em> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>2012</span>),
 <span class='BibPages'>402--417</span>.
</p>


<p><a id="biBMR1446574" name="biBMR1446574"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1446574">BM97</a></span>]   <b class='BibAuthor'>Burger, M. and Mozes, S.</b>,
 <i class='BibTitle'>Finitely presented simple groups and products of trees</i>,
 <span class='BibJournal'>C. R. Acad. Sci. Paris Sér. I Math.</span>,
 <em class='BibVolume'>324</em> (<span class='BibNumber'>7</span>)
 (<span class='BibYear'>1997</span>),
 <span class='BibPages'>747--752</span>.
</p>


<p><a id="biBMR1839488" name="biBMR1839488"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1839488">BM00a</a></span>]   <b class='BibAuthor'>Burger, M. and Mozes, S.</b>,
 <i class='BibTitle'>Groups acting on trees: from local to global structure</i>,
 <span class='BibJournal'>Inst. Hautes Études Sci. Publ. Math.</span> (<span class='BibNumber'>92</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>113--150 (2001)</span>.
</p>


<p><a id="biBMR1839489" name="biBMR1839489"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1839489">BM00b</a></span>]   <b class='BibAuthor'>Burger, M. and Mozes, S.</b>,
 <i class='BibTitle'>Lattices in product of trees</i>,
 <span class='BibJournal'>Inst. Hautes Études Sci. Publ. Math.</span> (<span class='BibNumber'>92</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>151--194 (2001)</span>.
</p>


<p><a id="biBMR2394721" name="biBMR2394721"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2394721">BR08</a></span>]   <b class='BibAuthor'>Bartholdi, L. and Reznykov, I. I.</b>,
 <i class='BibTitle'>A Mealy machine with polynomial growth of irrational
      degree</i>,
 <span class='BibJournal'>Internat. J. Algebra Comput.</span>,
 <em class='BibVolume'>18</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>59--82</span>.
</p>


<p><a id="biBMR2194959" name="biBMR2194959"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2194959">BRS06</a></span>]   <b class='BibAuthor'>Bartholdi, L., Reznykov, I. I. and Sushchansky, V. I.</b>,
 <i class='BibTitle'>The smallest Mealy automaton of intermediate growth</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>295</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2006</span>),
 <span class='BibPages'>387--414</span>.
</p>


<p><a id="biBMR0142635" name="biBMR0142635"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR0142635">BS62</a></span>]   <b class='BibAuthor'>Baumslag, G. and Solitar, D.</b>,
 <i class='BibTitle'>Some two-generator one-relator non-Hopfian groups</i>,
 <span class='BibJournal'>Bull. Amer. Math. Soc.</span>,
 <em class='BibVolume'>68</em>
 (<span class='BibYear'>1962</span>),
 <span class='BibPages'>199--201</span>.
</p>


<p><a id="biBMR1856923" name="biBMR1856923"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1856923">B{Š}01</a></span>]   <b class='BibAuthor'>Bartholdi, L. and Šuniḱ, Z.</b>,
 <i class='BibTitle'>On the word and period growth of some groups of tree
       automorphisms</i>,
 <span class='BibJournal'>Comm. Algebra</span>,
 <em class='BibVolume'>29</em> (<span class='BibNumber'>11</span>)
 (<span class='BibYear'>2001</span>),
 <span class='BibPages'>4923--4964</span>.
</p>


<p><a id="biBMR1656573" name="biBMR1656573"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1656573">BSV99</a></span>]   <b class='BibAuthor'>Brunner, A. M., Sidki, S. N. and Vieira, A. C.</b>,
 <i class='BibTitle'>A just nonsolvable torsion-free group defined on the binary
       tree</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>211</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1999</span>),
 <span class='BibPages'>99--114</span>.
</p>


<p><a id="biBMR2176547" name="biBMR2176547"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2176547">BV05</a></span>]   <b class='BibAuthor'>Bartholdi, L. and Virág, B.</b>,
 <i class='BibTitle'>Amenability via random walks</i>,
 <span class='BibJournal'>Duke Math. J.</span>,
 <em class='BibVolume'>130</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>39--56</span>.
</p>


<p><a id="biBMR1314589" name="biBMR1314589"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1314589">Cha95</a></span>]   <b class='BibAuthor'>Charney, R.</b>,
 <i class='BibTitle'>Geodesic automation and growth functions for Artin groups of
       finite type</i>,
 <span class='BibJournal'>Math. Ann.</span>,
 <em class='BibVolume'>301</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1995</span>),
 <span class='BibPages'>307--324</span>.
</p>


<p><a id="biBMR2140091" name="biBMR2140091"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2140091">Dah05</a></span>]   <b class='BibAuthor'>Dahmani, F.</b>,
 <i class='BibTitle'>An example of non-contracting weakly branch automaton group</i>,
  in  <i class='BibBooktitle'>Geometric methods in group theory</i>,
 <span class='BibPublisher'>Amer. Math. Soc.</span>,
 <span class='BibSeries'>Contemp. Math.</span>,
 <em class='BibVolume'>372</em>,
 <span class='BibAddress'>Providence, RI</span>
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>219--224</span>.
</p>


<p><a id="biBMR2144977" name="biBMR2144977"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2144977">Ers04</a></span>]   <b class='BibAuthor'>Erschler, A.</b>,
 <i class='BibTitle'>Boundary behavior for groups of subexponential growth</i>,
 <span class='BibJournal'>Ann. of Math. (2)</span>,
 <em class='BibVolume'>160</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>2004</span>),
 <span class='BibPages'>1183--1210</span>.
</p>


<p><a id="biBMR942349" name="biBMR942349"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR942349">FG85</a></span>]   <b class='BibAuthor'>Fabrykowski, J. and Gupta, N.</b>,
 <i class='BibTitle'>On groups with sub-exponential growth functions</i>,
 <span class='BibJournal'>J. Indian Math. Soc. (N.S.)</span>,
 <em class='BibVolume'>49</em> (<span class='BibNumber'>3-4</span>)
 (<span class='BibYear'>1985</span>),
 <span class='BibPages'>249--256 (1987)</span>.
</p>


<p><a id="biBMR1153150" name="biBMR1153150"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1153150">FG91</a></span>]   <b class='BibAuthor'>Fabrykowski, J. and Gupta, N.</b>,
 <i class='BibTitle'>On groups with sub-exponential growth functions. II</i>,
 <span class='BibJournal'>J. Indian Math. Soc. (N.S.)</span>,
 <em class='BibVolume'>56</em> (<span class='BibNumber'>1-4</span>)
 (<span class='BibYear'>1991</span>),
 <span class='BibPages'>217--228</span>.
</p>


<p><a id="biBMR2155175" name="biBMR2155175"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2155175">GM05</a></span>]   <b class='BibAuthor'>Glasner, Y. and Mozes, S.</b>,
 <i class='BibTitle'>Automata and square complexes</i>,
 <span class='BibJournal'>Geom. Dedicata</span>,
 <em class='BibVolume'>111</em>
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>43--64</span>.
</p>


<p><a id="biBMR565099" name="biBMR565099"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR565099">Gri80</a></span>]   <b class='BibAuthor'>Grigorchuk, R. I.</b>,
 <i class='BibTitle'>On Burnside's problem on periodic groups,
 <span class='BibJournal'>Funktsional. Anal. i Prilozhen.</span>,
 <em class='BibVolume'>14</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1980</span>),
 <span class='BibPages'>53--54</span>.
</p>


<p><a id="biBMR764305" name="biBMR764305"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR764305">Gri84</a></span>]   <b class='BibAuthor'>Grigorchuk, R. I.</b>,
 <i class='BibTitle'>Degrees of growth of finitely generated groups and the theory
       of invariant means</i>,
 <span class='BibJournal'>Izv. Akad. Nauk SSSR Ser. Mat.</span>,
 <em class='BibVolume'>48</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>1984</span>),
 <span class='BibPages'>939--985</span>.
</p>


<p><a id="biBMR696534" name="biBMR696534"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR696534">GS83</a></span>]   <b class='BibAuthor'>Gupta, N. and Sidki, S. N.</b>,
 <i class='BibTitle'>On the Burnside problem for periodic groups</i>,
 <span class='BibJournal'>Math. Z.</span>,
 <em class='BibVolume'>182</em> (<span class='BibNumber'>3</span>)
 (<span class='BibYear'>1983</span>),
 <span class='BibPages'>385--388</span>.
</p>


<p><a id="biBMR2217913" name="biBMR2217913"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2217913">G{Š}06</a></span>]   <b class='BibAuthor'>Grigorchuk, R. I. and Šuniḱ, Z.</b>,
 <i class='BibTitle'>Asymptotic aspects of Schreier graphs and Hanoi
      Towers
       groups</i>,
 <span class='BibJournal'>C. R. Math. Acad. Sci. Paris</span>,
 <em class='BibVolume'>342</em> (<span class='BibNumber'>8</span>)
 (<span class='BibYear'>2006</span>),
 <span class='BibPages'>545--550</span>.
</p>


<p><a id="biBMR1902367" name="biBMR1902367"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1902367">G{\.Z}02</a></span>]   <b class='BibAuthor'>Grigorchuk, R. I. and Żuk, A.</b>,
 <i class='BibTitle'>On a torsion-free weakly branch group defined by a three state
       automaton</i>,
 <span class='BibJournal'>Internat. J. Algebra Comput.</span>,
 <em class='BibVolume'>12</em> (<span class='BibNumber'>1-2</span>)
 (<span class='BibYear'>2002</span>),
 <span class='BibPages'>223--246</span><br />
(<span class='BibNote'>International Conference on Geometric and Combinatorial
       Methods in Group Theory and Semigroup Theory (Lincoln, NE,
       2000)</span>).
</p>


<p><a id="biBMR819415" name="biBMR819415"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR819415">Lys85</a></span>]   <b class='BibAuthor'>Lysënok, I. G.</b>,
 <i class='BibTitle'>A set of defining relations for the Grigorchuk group</i>,
 <span class='BibJournal'>Mat. Zametki</span>,
 <em class='BibVolume'>38</em> (<span class='BibNumber'>4</span>)
 (<span class='BibYear'>1985</span>),
 <span class='BibPages'>503--516, 634</span>.
</p>


<p><a id="biBMR2139928" name="biBMR2139928"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2139928">Mam03</a></span>]   <b class='BibAuthor'>Mamaghani, M. J.</b>,
 <i class='BibTitle'>A fractal non-contracting class of automata groups</i>,
 <span class='BibJournal'>Bull. Iranian Math. Soc.</span>,
 <em class='BibVolume'>29</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>51--64, 92</span>.
</p>


<p><a id="biBMR1841119" name="biBMR1841119"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1841119">MNS00</a></span>]   <b class='BibAuthor'>Macedońska, O., Nekrashevych, V. V. and Sushchansky, V. I.</b>,
 <i class='BibTitle'>Commensurators of groups and reversible automata</i>,
 <span class='BibJournal'>Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh. Nauki</span> (<span class='BibNumber'>12</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>36--39</span>.
</p>


<p><a id="biBMR2162164" name="biBMR2162164"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2162164">Nek05</a></span>]   <b class='BibAuthor'>Nekrashevych, V.</b>,
 <i class='BibTitle'>Self-similar groups</i>,
 <span class='BibPublisher'>American Mathematical Society</span>,
 <span class='BibSeries'>Mathematical Surveys and Monographs</span>,
 <em class='BibVolume'>117</em>,
 <span class='BibAddress'>Providence, RI</span>
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>xii+231 pages</span>.
</p>


<p><a id="biB0810.4936" name="biB0810.4936"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Nek08a</span>]   <b class='BibAuthor'>Nekrashevych, V.</b>,
 <i class='BibTitle'>Combinatorial models of expanding dynamical systems</i>
 (<span class='BibYear'>2008</span>)<br />
(<span class='BibNote'>arXiv:math.GR/0810.4936</span>).
</p>


<p><a id="biB0811.2777" name="biB0811.2777"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Nek08b</span>]   <b class='BibAuthor'>Nekrashevych, V.</b>,
 <i class='BibTitle'>The Julia set of a post-critically finite endomorphism of PC^2</i>
 (<span class='BibYear'>2008</span>)<br />
(<span class='BibNote'>arXiv:math.GR/0811.2777</span>).
</p>


<p><a id="biBMR840129" name="biBMR840129"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR840129">Neu86</a></span>]   <b class='BibAuthor'>Neumann, P. M.</b>,
 <i class='BibTitle'>Some questions of Edjvet and Pride about infinite
      groups</i>,
 <span class='BibJournal'>Illinois J. Math.</span>,
 <em class='BibVolume'>30</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>1986</span>),
 <span class='BibPages'>301--316</span>.
</p>


<p><a id="biBMR2293788" name="biBMR2293788"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2293788">Pet06</a></span>]   <b class='BibAuthor'>Petrogradsky, V. M.</b>,
 <i class='BibTitle'>Examples of self-iterating Lie algebras</i>,
 <span class='BibJournal'>J. Algebra</span>,
 <em class='BibVolume'>302</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2006</span>),
 <span class='BibPages'>881--886</span>.
</p>


<p><a id="biBPSZ" name="biBPSZ"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>PSZ</span>]   <b class='BibAuthor'>Petrogradsky, V., Shestakov, I. and Zelmanov, E.</b>,
 <i class='BibTitle'>Nil graded self-similar algebras</i>,
<span class='BibHowpublished'>Submitted</span>.
</p>


<p><a id="biBRattaggi" name="biBRattaggi"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>Rat04</span>]   <b class='BibAuthor'>Rattaggi, D.</b>,
 <i class='BibTitle'>Computations in Groups Acting on a Product of Trees: Normal Subgroup Structures and Quaternion Lattices</i>,
 <span class='BibType'>Ph.D. thesis</span>,
 <span class='BibSchool'>Eidgenössische Technische Hochschule Zürich</span>
 (<span class='BibYear'>2004</span>).
</p>


<p><a id="biBMR1423285" name="biBMR1423285"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1423285">Sid97</a></span>]   <b class='BibAuthor'>Sidki, S. N.</b>,
 <i class='BibTitle'>A primitive ring associated to a Burnside
      3-group</i>,
 <span class='BibJournal'>J. London Math. Soc. (2)</span>,
 <em class='BibVolume'>55</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>1997</span>),
 <span class='BibPages'>55--64</span>.
</p>


<p><a id="biBMR1774362" name="biBMR1774362"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1774362">Sid00</a></span>]   <b class='BibAuthor'>Sidki, S. N.</b>,
 <i class='BibTitle'>Automorphisms of one-rooted trees: growth, circuit structure,
      and acyclicity</i>,
 <span class='BibJournal'>J. Math. Sci. (New York)</span>,
 <em class='BibVolume'>100</em> (<span class='BibNumber'>1</span>)
 (<span class='BibYear'>2000</span>),
 <span class='BibPages'>1925--1943</span><br />
(<span class='BibNote'>Algebra, 12</span>).
</p>


<p><a id="biBMR2197828" name="biBMR2197828"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2197828">Sid05</a></span>]   <b class='BibAuthor'>Sidki, S. N.</b>,
 <i class='BibTitle'>Tree-wreathing applied to generation of groups by finite
       automata</i>,
 <span class='BibJournal'>Internat. J. Algebra Comput.</span>,
 <em class='BibVolume'>15</em> (<span class='BibNumber'>5-6</span>)
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>1205--1212</span>.
</p>


<p><a id="biBMR2197829" name="biBMR2197829"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2197829">SS05</a></span>]   <b class='BibAuthor'>Silva, P. V. and Steinberg, B.</b>,
 <i class='BibTitle'>On a class of automata groups generalizing lamplighter groups</i>,
 <span class='BibJournal'>Internat. J. Algebra Comput.</span>,
 <em class='BibVolume'>15</em> (<span class='BibNumber'>5-6</span>)
 (<span class='BibYear'>2005</span>),
 <span class='BibPages'>1213--1234</span>.
</p>


<p><a id="biBMR2318546" name="biBMR2318546"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2318546">{Š}un07</a></span>]   <b class='BibAuthor'>Šunić, Z.</b>,
 <i class='BibTitle'>Hausdorff dimension in a family of self-similar groups</i>,
 <span class='BibJournal'>Geom. Dedicata</span>,
 <em class='BibVolume'>124</em>
 (<span class='BibYear'>2007</span>),
 <span class='BibPages'>213--236</span>.
</p>


<p><a id="biB0610033" name="biB0610033"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>SVV06</span>]   <b class='BibAuthor'>Steinberg, B., Vorobets, M. and Vorobets, Y.</b>,
 <i class='BibTitle'>Automata over a binary alphabet generating free groups of even
      rank</i>
 (<span class='BibYear'>2006</span>)<br />
(<span class='BibNote'>arXiv:math.GR/0610033</span>).
</p>


<p><a id="biBMR1995624" name="biBMR1995624"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR1995624">SW03</a></span>]   <b class='BibAuthor'>Sidki, S. N. and Wilson, J. S.</b>,
 <i class='BibTitle'>Free subgroups of branch groups</i>,
 <span class='BibJournal'>Arch. Math. (Basel)</span>,
 <em class='BibVolume'>80</em> (<span class='BibNumber'>5</span>)
 (<span class='BibYear'>2003</span>),
 <span class='BibPages'>458--463</span>.
</p>


<p><a id="biBMR2390328" name="biBMR2390328"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2390328">SZ08</a></span>]   <b class='BibAuthor'>Shestakov, I. P. and Zelmanov, E.</b>,
 <i class='BibTitle'>Some examples of nil Lie algebras</i>,
 <span class='BibJournal'>J. Eur. Math. Soc. (JEMS)</span>,
 <em class='BibVolume'>10</em> (<span class='BibNumber'>2</span>)
 (<span class='BibYear'>2008</span>),
 <span class='BibPages'>391--398</span>.
</p>


<p><a id="biBvneumann" name="biBvneumann"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>vN29</span>]   <b class='BibAuthor'>von Neumann, J.</b>,
 <i class='BibTitle'>Zur allgemeinen Theorie des Masses</i>,
 <span class='BibJournal'>Fund. Math.</span>,
 <em class='BibVolume'>13</em>
 (<span class='BibYear'>1929</span>),
 <span class='BibPages'>73--116 and 333</span><br />
(<span class='BibNote'>(= Collected works, vol. I, pages 599--643)</span>).
</p>


<p><a id="biB0604328" name="biB0604328"></a></p>
<p class='BibEntry'>
[<span class='BibKey'>VV06</span>]   <b class='BibAuthor'>Vorobets, M. and Vorobets, Y.</b>,
 <i class='BibTitle'>On a series of finite automata defining free transformation
      groups</i>
 (<span class='BibYear'>2006</span>)<br />
(<span class='BibNote'>arXiv:math.GR/0604328</span>).
</p>


<p><a id="biBMR2318547" name="biBMR2318547"></a></p>
<p class='BibEntry'>
[<span class='BibKeyLink'><a href="https://www.ams.org/mathscinet-getitem?mr=MR2318547">VV07</a></span>]   <b class='BibAuthor'>Vorobets, M. and Vorobets, Y.</b>,
<a href="https://doi.org/10.1007/s10711-006-9060-5"><i class='BibTitle'>On a free group of transformations defined by an automaton</i></a>,
 <span class='BibJournal'>Geom. Dedicata</span>,
 <em class='BibVolume'>124</em>
 (<span class='BibYear'>2007</span>),
 <span class='BibPages'>237--249</span>.
</p>

<p> </p>


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