Quelle HeLP.bib Sprache: Latech

@Misc{4ti2,
  author =   {4 ti 2 team},
  title =    {4ti2---A software package for algebraic, geometric and
              combinatorial problems on linear spaces},
  howpublished = {{A}vailable at \url{4ti2.github.io}}
}

@Misc{lrslib,
  author =   {David Avis},
  title =    {lrslib -- reverse search vertex enumeration program},
  howpublished = {{A}vailable at \url{https://cgm.cs.mcgill.ca/~avis/C/lrs.html}}
}

@article {BaCa,
    AUTHOR = {B\"achle, A. and Caicedo, M.},
     TITLE = {On the prime graph question for almost simple groups with an
              alternating socle},
   JOURNAL = {Internat. J. Algebra Comput.},
    VOLUME = {27},
      YEAR = {2017},
    NUMBER = {3},
     PAGES = {333--347}
}

@article {BaHeKoMaSi,
    AUTHOR = {B\"{a}chle, Andreas and Herman, Allen and Konovalov, Alexander and
              Margolis, Leo and Singh, Gurmail},
     TITLE = {The status of the {Z}assenhaus conjecture for small groups},
   JOURNAL = {Exp. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {27},
      YEAR = {2018},
    NUMBER = {4},
     PAGES = {431--436}
}

@article {BaMaM10,
    AUTHOR = {B\"achle, A. and Margolis, L.},
     TITLE = {Rational conjugacy of torsion units in integral group rings of
              non-solvable groups},
   JOURNAL = {Proc. Edinb. Math. Soc. (2)},
    VOLUME = {60},
      YEAR = {2017},
    NUMBER = {4},
     PAGES = {813--830}
}

@article {BaMaHeLPArticle,
    AUTHOR = {B\"achle, A. and Margolis, L.},
     TITLE = {He{LP}: a {GAP} package for torsion units in integral group
              rings},
   JOURNAL = {J. Softw. Algebra Geom.},
  FJOURNAL = {Journal of Software for Algebra and Geometry},
    VOLUME = {8},
      YEAR = {2018},
     PAGES = {1--9}
}

@article {BaMa4prI,
    AUTHOR = {B\"achle, A. and Margolis, L.},
     TITLE = {On the prime graph question for integral group rings of
              4-primary groups {I}},
   JOURNAL = {Internat. J. Algebra Comput.},
    VOLUME = {27},
      YEAR = {2017},
    NUMBER = {6},
     PAGES = {731--767}
}

@article {BaMa4prII,
AUTHOR = {B\"{a}chle, Andreas and Margolis, Leo},
     TITLE = {On the prime graph question for integral group rings of
              4-primary groups {II}},
   JOURNAL = {Algebr. Represent. Theory},
  FJOURNAL = {Algebras and Representation Theory},
    VOLUME = {22},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {437--457}
}

@article {BaMaAn,
    AUTHOR = {B\"{a}chle, Andreas and Margolis, Leo},
     TITLE = {An application of blocks to torsion units in group rings},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {147},
      YEAR = {2019},
    NUMBER = {10},
     PAGES = {4221--4231}
}

@article {BachleMargolisExamplesToMethods,
    AUTHOR = {B\"{a}chle, Andreas and Margolis, Leo},
     TITLE = {From examples to methods: two cases from the study of units in
              integral group rings},
   JOURNAL = {Indian J. Pure Appl. Math.},
  FJOURNAL = {Indian Journal of Pure and Applied Mathematics},
    VOLUME = {52},
      YEAR = {2021},
    NUMBER = {3},
     PAGES = {669--686}
}

@article {BachleKimmerleSerrano,
    AUTHOR = {B\"{a}chle, Andreas and Kimmerle, Wolfgang and Serrano, Mariano},
     TITLE = {On the first {Z}assenhaus conjecture and direct products},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'{e}matiques},
    VOLUME = {72},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {602--624}
}

@article {BovdiHertweck,
    AUTHOR = {Bovdi, V. A. and Hertweck, M.},
     TITLE = {Zassenhaus conjecture for central extensions of {$S_5$}},
   JOURNAL = {J. Group Theory},
    VOLUME = {11},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {63--74}
}

@article {BJK,
    AUTHOR = {Bovdi, V. A. and Jespers, E. and Konovalov, A. B.},
     TITLE = {Torsion units in integral group rings of {J}anko simple
              groups},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {80},
      YEAR = {2011},
    NUMBER = {273},
     PAGES = {593--615},
}

@incollection {KonovalovM11,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B.},
     TITLE = {Integral group ring of the first {M}athieu simple group},
BOOKTITLE = {Groups {S}t. {A}ndrews 2005. {V}ol. 1},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {339},
     PAGES = {237--245},
PUBLISHER = {Cambridge Univ. Press, Cambridge},
      YEAR = {2007}
}

@article {BovdiKonovalovM12,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B. and Siciliano, S.},
     TITLE = {Integral group ring of the {M}athieu simple group {$M_{12}$}},
   JOURNAL = {Rend. Circ. Mat. Palermo (2)},
  FJOURNAL = {Rendiconti del Circolo Matematico di Palermo. Serie II},
    VOLUME = {56},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {125--136}
}

@article {BovdiKonovalovSuz,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B. and Marcos,
              E. d. N.},
     TITLE = {Integral group ring of the {S}uzuki sporadic simple group},
   JOURNAL = {Publ. Math. Debrecen},
  FJOURNAL = {Publicationes Mathematicae Debrecen},
    VOLUME = {72},
      YEAR = {2008},
    NUMBER = {3-4},
     PAGES = {487--503}
}

@article {BovdiKonovalovM23,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B.},
     TITLE = {Integral group ring of the {M}athieu simple group {$M_{23}$}},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {36},
      YEAR = {2008},
    NUMBER = {7},
     PAGES = {2670--2680}
}

@article {BovdiKonovalovHe,
    AUTHOR = {Bovdi, V. A. and Grishkov, A. N. and Konovalov, A. B.},
     TITLE = {Kimmerle conjecture for the {H}eld and {O}'{N}an sporadic
              simple groups},
   JOURNAL = {Sci. Math. Jpn.},
  FJOURNAL = {Scientiae Mathematicae Japonicae},
    VOLUME = {69},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {353--361}
}

@article {BovdiKonovalovRu,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B.},
     TITLE = {Integral group ring of {R}udvalis simple group},
   JOURNAL = {Ukra\"\i n. Mat. Zh.},
  FJOURNAL = {Nats\=\i onal\cprime na Akadem\=\i ya Nauk Ukra\"\i ni. \=Institut Matematiki.
              Ukra\"\i ns\cprime ki\u\i  Matematichni\u\i  Zhurnal},
    VOLUME = {61},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {3--13}
}

@article {BovdiKonovalovM24,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B.},
     TITLE = {Integral group ring of the {M}athieu simple group {$M_{24}$}},
   JOURNAL = {J. Algebra Appl.},
  FJOURNAL = {Journal of Algebra and its Applications},
    VOLUME = {11},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {1250016, 10}
}

@article {BovdiKonovalovConway,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B. and Linton, S.},
     TITLE = {Torsion units in integral group rings of {C}onway simple
              groups},
   JOURNAL = {Internat. J. Algebra Comput.},
  FJOURNAL = {International Journal of Algebra and Computation},
    VOLUME = {21},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {615--634}
}

@article {KonovalovM22,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B. and Linton, S.},
     TITLE = {Torsion units in integral group ring of the {M}athieu simple
              group {${\rm M}_{22}$}},
   JOURNAL = {LMS J. Comput. Math.},
  FJOURNAL = {LMS Journal of Computation and Mathematics},
    VOLUME = {11},
      YEAR = {2008},
     PAGES = {28--39}
}

@article {BKHS,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B.},
     TITLE = {Torsion units in integral group ring of {H}igman-{S}ims simple
              group},
   JOURNAL = {Studia Sci. Math. Hungar.},
  FJOURNAL = {Studia Scientiarum Mathematicarum Hungarica. A Quarterly of
              the Hungarian Academy of Sciences},
    VOLUME = {47},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {1--11},
}

@article {KonovalovMcL,
    AUTHOR = {Bovdi, V. A. and Konovalov, A. B.},
     TITLE = {Integral group ring of the {M}c{L}aughlin simple group},
   JOURNAL = {Algebra Discrete Math.},
  FJOURNAL = {Algebra and Discrete Mathematics},
      YEAR = {2007},
    NUMBER = {2},
     PAGES = {43--53}
}

@Misc{Normaliz,
author = {W. Bruns and B. Ichim and T. R\"omer and R. Sieg and C. S\"oger},
title = {Normaliz. Algorithms for rational cones and affine monoids},
howpublished ={Available at \url{https://normaliz.uos.de}}
}

@article {CyclicByAbelian,
    AUTHOR = {Caicedo, M. and Margolis, L. and del R{\'{\i}}o,
              {\'A}.},
     TITLE = {Zassenhaus conjecture for cyclic-by-abelian groups},
   JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {88},
      YEAR = {2013},
    NUMBER = {1},
     PAGES = {65--78}
}

@article {CaMaBrauerTree,
    AUTHOR = {Caicedo, Mauricio and Margolis, Leo},
     TITLE = {Orders of units in integral group rings and blocks of defect
              1},
   JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {103},
      YEAR = {2021},
    NUMBER = {4},
     PAGES = {1515--1546}
}

@article {CaicedoDelRio20,
    AUTHOR = {Caicedo, Mauricio and del R\'{\i}o, \'{A}ngel},
     TITLE = {On the {Z}assenhaus conjecture for certain cyclic-by-nilpotent
              groups},
   JOURNAL = {Mediterr. J. Math.},
  FJOURNAL = {Mediterranean Journal of Mathematics},
    VOLUME = {17},
      YEAR = {2020},
    NUMBER = {2},
     PAGES = {Paper No. 62, 17}
}

@article {CohnLivingstone,
    AUTHOR = {Cohn, J. A. and Livingstone, D.},
     TITLE = {On the structure of group algebras. {I}},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {17},
      YEAR = {1965},
     PAGES = {583--593}
}

@book {CR1,
    AUTHOR = {Curtis, C. W. and Reiner, I.},
     TITLE = {Methods of representation theory. {V}ol. {I}},
    SERIES = {Wiley Classics Library},
      NOTE = {With applications to finite groups and orders,
              Reprint of the 1981 original,
              A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons, Inc., New York},
      YEAR = {1990},
     PAGES = {xxiv+819}
}

@article {EiMa18,
    AUTHOR = {Eisele, Florian and Margolis, Leo},
     TITLE = {A counterexample to the first {Z}assenhaus conjecture},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {339},
      YEAR = {2018},
     PAGES = {599--641}
}

@article{EiseleMargolisDefect1,
    AUTHOR = {Eisele, F. and Margolis, L.},
     TITLE = {Units in blocks of defect 1 and the Zassenhaus Conjecture},
   JOURNAL = {preprint, arxiv.org/abs/arXiv:2212.06634},
      YEAR = {2022},
     PAGES = {29 pages}
}

@article {Gildea,
    AUTHOR = {Gildea, J.},
     TITLE = {Zassenhaus conjecture for integral group ring of simple linear
              groups},
   JOURNAL = {J. Algebra Appl.},
  FJOURNAL = {Journal of Algebra and its Applications},
    VOLUME = {12},
      YEAR = {2013},
    NUMBER = {6},
     PAGES = {1350016, 10}
}

@article {HertweckColloq,
    AUTHOR = {Hertweck, M.},
     TITLE = {On the torsion units of some integral group rings},
   JOURNAL = {Algebra Colloq.},
  FJOURNAL = {Algebra Colloquium},
    VOLUME = {13},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {329--348}
}

@Article{HertweckBrauer,
author = {M. Hertweck},
title = {Partial Augmentations and {B}rauer Character values of torion Units in Group Rings},
journal = {Preprint},
year = {2007},
note = {e-print \href{https://arxiv.org/abs/math/0612429v2}{\nolinkurl{arXiv:math.RA/0612429v2 [math.RA]}}}
}

@article {HerA6,
    AUTHOR = {Hertweck, M.},
     TITLE = {Zassenhaus conjecture for {$A_6$}},
   JOURNAL = {Proc. Indian Acad. Sci. Math. Sci.},
  FJOURNAL = {Indian Academy of Sciences. Proceedings. Mathematical
              Sciences},
    VOLUME = {118},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {189--195},
}

@article {HertweckSolvable,
    AUTHOR = {Hertweck, M.},
     TITLE = {The orders of torsion units in integral group rings of finite
              solvable groups},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {36},
      YEAR = {2008},
    NUMBER = {10},
     PAGES = {3585--3588}
}

@article {HertweckEdinb,
    AUTHOR = {Hertweck, M.},
     TITLE = {Torsion units in integral group rings of certain metabelian
              groups},
   JOURNAL = {Proc. Edinb. Math. Soc. (2)},
  FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
    VOLUME = {51},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {363--385}
}

@incollection {HoefertKimmerle,
    AUTHOR = {H{\"o}fert, C. and Kimmerle, W.},
     TITLE = {On torsion units of integral group rings of groups of small
              order},
BOOKTITLE = {Groups, rings and group rings},
    SERIES = {Lect. Notes Pure Appl. Math.},
    VOLUME = {248},
     PAGES = {243--252},
PUBLISHER = {Chapman \& Hall/CRC, Boca Raton, FL},
      YEAR = {2006}
}

@article {JuriaansMilies,
    AUTHOR = {Juriaans, S. O. and Polcino Milies, C.},
     TITLE = {Units of integral group rings of {F}robenius groups},
   JOURNAL = {J. Group Theory},
  FJOURNAL = {Journal of Group Theory},
    VOLUME = {3},
      YEAR = {2000},
    NUMBER = {3},
     PAGES = {277--284}
}

@article {LP,
    AUTHOR = {Luthar, I.S. and Passi, I.B.S.},
     TITLE = {Zassenhaus conjecture for {$A_5$}},
   JOURNAL = {Proc. Indian Acad. Sci. Math. Sci.},
  FJOURNAL = {Indian Academy of Sciences. Proceedings. Mathematical
              Sciences},
    VOLUME = {99},
      YEAR = {1989},
    NUMBER = {1},
     PAGES = {1--5},
}

@article{Ari,
author = {W. Kimmerle},
title = {Mini-{W}orkshop: {A}rithmetik von {G}ruppenringen},
journal = {Oberwolfach Reports},
volume = {4},
number = {4},
year = {2007},
publisher = {European Mathematical Society},
pages = {3209-3239},
}

@incollection {KimmiPQ,
    AUTHOR = {Kimmerle, W.},
     TITLE = {On the prime graph of the unit group of integral group rings
              of finite groups},
BOOKTITLE = {Groups, rings and algebras},
    SERIES = {Contemp. Math.},
    VOLUME = {420},
     PAGES = {215--228},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2006}
}

@Article{KonovalovKimmiStAndrews,
author = {Kimmerle, W. and Konovalov, A.B.},
title = {Recent advances on torsion subgroups of {I}ntegral {G}roup {R}ings},
journal = {Proc. of Groups St Andrews 2013},
year = {2015},
pages = {331--347},
}

@article {LutharPassi1992,
    AUTHOR = {Luthar, I. S. and Passi, I. B. S.},
     TITLE = {Torsion units in matrix group rings},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {20},
      YEAR = {1992},
    NUMBER = {4},
     PAGES = {1223--1228}
}

@article {MRSW,
    AUTHOR = {Marciniak, Z. and Ritter, J. and Sehgal, S. and Weiss, A.},
     TITLE = {Torsion units in integral group rings of some metabelian
              groups. {II}},
   JOURNAL = {Journal of Number Theory},
    VOLUME = {25},
      YEAR = {1987},
    NUMBER = {3},
     PAGES = {340--352},
      ISSN = {0022-314X},
       DOI = {10.1016/0022-314X(87)90037-0},
}

@article {MargolisConway,
    AUTHOR = {Margolis, Leo},
     TITLE = {On the prime graph question for integral group rings of
              {C}onway simple groups},
   JOURNAL = {J. Symbolic Comput.},
  FJOURNAL = {Journal of Symbolic Computation},
    VOLUME = {95},
      YEAR = {2019},
     PAGES = {162--176}
}

@article {FermatMersenne,
    AUTHOR = {Margolis, Leo and del R\'{\i}o, \'{A}ngel and Serrano, Mariano},
     TITLE = {Zassenhaus conjecture on torsion units holds for {${\rm
              PSL}(2,p)$} with {$p$} a {F}ermat or {M}ersenne prime},
   JOURNAL = {J. Algebra},
    VOLUME = {531},
      YEAR = {2019},
     PAGES = {320--335}
}

@article {MargolisdelRioCW1,
    AUTHOR = {Margolis, L. and R{\'i}o, {\'A}. del},
     TITLE = {Cliff--{W}eiss inequalities and the {Z}assenhaus {C}onjecture},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {507},
      YEAR = {2018},
     PAGES = {292--319}
}

@article {MargolisdelRioCW3,
    AUTHOR = {Margolis, Leo and del R\'{\i}o, \'{A}ngel},
     TITLE = {Partial augmentations power property: a {Z}assenhaus
              conjecture related problem},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {223},
      YEAR = {2019},
    NUMBER = {9},
     PAGES = {4089--4101}
}

@article {MargolisDelRioPAP,
    AUTHOR = {Margolis, Leo and del R\'{\i}o, \'{A}ngel},
     TITLE = {Partial augmentations power property: a {Z}assenhaus
              conjecture related problem},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {223},
      YEAR = {2019},
    NUMBER = {9},
     PAGES = {4089--4101}
}

@article {MargolisHertweck,
    AUTHOR = {Margolis, L.},
     TITLE = {A {T}heorem of {H}ertweck on $p$-adic conjugacy},
   JOURNAL = {arxiv.org/abs/1706.02117},
     YEAR  = {2017},
     PAGES = {11 pages}
}

@article {delRioSerrano19,
    AUTHOR = {del R\'{\i}o, \'{A}ngel and Serrano, Mariano},
     TITLE = {Zassenhaus conjecture on torsion units holds for {${\rm
              SL}(2,p)$} and {${\rm SL}(2,p^2)$}},
   JOURNAL = {J. Group Theory},
  FJOURNAL = {Journal of Group Theory},
    VOLUME = {22},
      YEAR = {2019},
    NUMBER = {5},
     PAGES = {953--974}
}


@article {SalimA7A8,
    AUTHOR = {Salim, M.},
     TITLE = {Kimmerle's conjecture for integral group rings of some
              alternating groups},
   JOURNAL = {Acta Math. Acad. Paedagog. Nyh\'azi. (N.S.)},
  FJOURNAL = {Acta Mathematica. Academiae Paedagogicae Ny\'\i
              regyh\'aziensis. New Series},
    VOLUME = {27},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {9--22}
}

@article {SalimA9A10,
    AUTHOR = {Salim, M.},
     TITLE = {The prime graph conjecture for integral group rings of some
              alternating groups},
   JOURNAL = {Int. J. Group Theory},
  FJOURNAL = {International Journal of Group Theory},
    VOLUME = {2},
      YEAR = {2013},
    NUMBER = {1},
     PAGES = {175--185}
}

@article {SehgalWeiss,
    AUTHOR = {Sehgal, S. K. and Weiss, A.},
     TITLE = {Torsion units in integral group rings of some metabelian
              groups},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {103},
      YEAR = {1986},
    NUMBER = {2},
     PAGES = {490--499}
}

@Book{ SehgalBook2,
AUTHOR = "S.K. Sehgal",
TITLE = "Units in integral group rings",
SERIES = "Pitman Monographs and Surveys in Pure and Applied Mathematics",
VOLUME = "69",
PUBLISHER = "Longman Scientific \& Technical",
ADDRESS = "Harlow",
YEAR = "1993",
PAGES = "xii+357",
}

@article {SrinivasanPSL,
    AUTHOR = {Srinivasan, B.},
     TITLE = {On the modular characters of the special linear group
              {$SL(2,\,p^{n})$}},
   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {14},
      YEAR = {1964},
      pages={101--114}
}

@misc{Wa,
author={Wagner, R.},
title={Zassenhausvermutung über die {G}ruppen {$\textup{PSL}(2, p)$}},
howpublished={Diplomarbeit Universität Stuttgart},
year={1995},
month={Mai}
}

@article {Weiss91,
    AUTHOR = {Weiss, A.},
     TITLE = {Torsion units in integral group rings},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {415},
      YEAR = {1991},
     PAGES = {175--187}
}

@Article{Zas,
author = {H. Zassenhaus},
title = {On the torsion units of group rings},
journal = {Estudos de Mathemátics em homenagem ao Prof. A. Almeida Costa, Instituto de Alta Cultura (Portugese)},
year = {1974},
pages = {119-126},
}

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