  
  
  [1XReferences[101X
  
  [[20XAvi[120X]  [16XAvis,  D.[116X,  [17Xlrslib  --  reverse  search  vertex  enumeration program[117X,
  {A}vailable at \url{http://cgm.cs.mcgill.ca/~avis/C/lrs.html}.
  
  [[20XBC15[120X]  [16XB\"achle, A. and Caicedo, M.[116X, [17XOn the Prime Graph Question for Almost
  Simple      Groups      with     an     Alternatin     Socle[117X,     [18XSubmitted,
  \href{http://arxiv.org/abs/1510.04598}{\nolinkurl{arXiv:1510.04598
  [math.RT]}}[118X (2015), ((11 pages)).
  
  [[20XBH08[120X]  [16XBovdi,  V.  A.  and  Hertweck, M.[116X, [17XZassenhaus conjecture for central
  extensions of S_5[117X, [18XJ. Group Theory[118X, [19X11[119X, 1 (2008), 63--74.
  
  [[20XBHK+16[120X]  [16XB\"achle,  A.,  Herman, A., Konovalov, A., Margolis, L. and Singh,
  G.[116X,  [17XThe  status  of  the  Zassenhaus conjecture for small groups[117X, [18XSubmitted[118X
  (2016),                              ((10                             pages,
  \href{https://arxiv.org/abs/1609.00042}{\nolinkurl{arXiv:1609.00042
  [math.RA]}})).
  
  [[20XBIR+[120X]  [16XBruns,  W.,  Ichim,  B.,  R\"omer,  T.,  Sieg,  R.  and S\"oger, C.[116X,
  [17XNormaliz.  Algorithms  for  rational  cones and affine monoids[117X, Available at
  \url{http://normaliz.uos.de}.
  
  [[20XBK07[120X]  [16XBovdi,  V.  A.  and  Konovalov,  A.  B.[116X,  [17XIntegral group ring of the
  McLaughlin simple group[117X, [18XAlgebra Discrete Math.[118X, 2 (2007), 43--53.
  
  [[20XBK10[120X]  [16XBovdi,  V.  A. and Konovalov, A. B.[116X, [17XTorsion units in integral group
  ring  of  Higman-Sims simple group[117X, [18XStudia Sci. Math. Hungar.[118X, [19X47[119X, 1 (2010),
  1--11.
  
  [[20XBM14[120X] [16XB\"achle, A. and Margolis, L.[116X, [17XRational conjugacy of torsion units in
  integral  group rings of non-solvable groups[117X, [18XAccepted in Proc. Edinb. Math.
  Soc.,       \href{http://arxiv.org/abs/1305.7419}{\nolinkurl{arXiv:1305.7419
  [math.RT]}}[118X (2014), ((22 pages)).
  
  [[20XBM15[120X]  [16XB{\"a}chle,  A.  and  Margolis, L.[116X, [17XHeLP -- A \textsfGAP-package for
  torsion  units  in  integral  group  rings[117X,  [18XSubmitted[118X  (2015),  ((7  pages,
  \href{http://arxiv.org/abs/1507.08174}{\nolinkurl{arXiv:1507.08174
  [math.RT]}})).
  
  [[20XBM16a[120X]  [16XB\"achle,  A.  and  Margolis,  L.[116X,  [17XOn the Prime Graph Question for
  Integral  Group  Rings  of 4-primary groups I[117X, [18XSubmitted[118X (2016), ((33 pages,
  \href{http://arxiv.org/abs/1601.05689}{\nolinkurl{arXiv:1601.05689
  [math.RT]}})).
  
  [[20XBM16b[120X]  [16XB\"achle,  A.  and  Margolis,  L.[116X,  [17XOn the Prime Graph Question for
  Integral  Group  Rings of 4-primary groups II[117X, [18XSubmitted[118X (2016), ((17 pages,
  \href{https://arxiv.org/abs/1606.01506}{\nolinkurl{arXiv:1606.01506
  [math.RT]}})).
  
  [[20XCL65[120X]  [16XCohn, J. A. and Livingstone, D.[116X, [17XOn the structure of group algebras.
  I[117X, [18XCanad. J. Math.[118X, [19X17[119X (1965), 583--593.
  
  [[20XCMdR13[120X]  [16XCaicedo,  M.,  Margolis,  L.  and  del  R{\'{\i}}o, {.[116X, [17XZassenhaus
  conjecture  for  cyclic-by-abelian  groups[117X,  [18XJ.  Lond. Math. Soc. (2)[118X, [19X88[119X, 1
  (2013), 65--78.
  
  [[20XCR90[120X]  [16XCurtis, C. W. and Reiner, I.[116X, [17XMethods of representation theory. Vol.
  I[117X,  John  Wiley  \&  Sons,  Inc.,  New  York, Wiley Classics Library (1990),
  xxiv+819  pages, ((With applications to finite groups and orders, Reprint of
  the 1981 original, A Wiley-Interscience Publication)).
  
  [[20XGil13[120X]  [16XGildea, J.[116X, [17XZassenhaus conjecture for integral group ring of simple
  linear groups[117X, [18XJ. Algebra Appl.[118X, [19X12[119X, 6 (2013), 1350016, 10.
  
  [[20XHer06[120X]  [16XHertweck,  M.[116X,  [17XOn  the torsion units of some integral group rings[117X,
  [18XAlgebra Colloq.[118X, [19X13[119X, 2 (2006), 329--348.
  
  [[20XHer07[120X]  [16XHertweck,  M.[116X, [17XPartial Augmentations and Brauer Character values of
  torion    Units    in    Group    Rings[117X,    [18XPreprint[118X    (2007),    ((e-print
  \href{http://arxiv.org/abs/math/0612429v2}{\nolinkurl{arXiv:math.RA/0612429v2
  [math.RA]}})).
  
  [[20XHer08a[120X]  [16XHertweck,  M.[116X, [17XThe orders of torsion units in integral group rings
  of finite solvable groups[117X, [18XComm. Algebra[118X, [19X36[119X, 10 (2008), 3585--3588.
  
  [[20XHer08b[120X]  [16XHertweck,  M.[116X,  [17XTorsion  units  in integral group rings of certain
  metabelian groups[117X, [18XProc. Edinb. Math. Soc. (2)[118X, [19X51[119X, 2 (2008), 363--385.
  
  [[20XHer08c[120X]  [16XHertweck,  M.[116X,  [17XZassenhaus  conjecture for A_6[117X, [18XProc. Indian Acad.
  Sci. Math. Sci.[118X, [19X118[119X, 2 (2008), 189--195.
  
  [[20XHK06[120X]  [16XH{\"o}fert,  C. and Kimmerle, W.[116X, [17XOn torsion units of integral group
  rings of groups of small order[117X, in Groups, rings and group rings, Chapman \&
  Hall/CRC,  Boca  Raton,  FL,  Lect.  Notes  Pure  Appl.  Math.,  [19X248[119X (2006),
  243--252.
  
  [[20XJPM00[120X]  [16XJuriaans,  S.  O.  and  Polcino Milies, C.[116X, [17XUnits of integral group
  rings of Frobenius groups[117X, [18XJ. Group Theory[118X, [19X3[119X, 3 (2000), 277--284.
  
  [[20XKim06[120X] [16XKimmerle, W.[116X, [17XOn the prime graph of the unit group of integral group
  rings  of  finite  groups[117X,  in Groups, rings and algebras, Amer. Math. Soc.,
  Providence, RI, Contemp. Math., [19X420[119X (2006), 215--228.
  
  [[20XKim07[120X]   [16XKimmerle,   W.[116X,   [17XMini-Workshop:   Arithmetik  von  Gruppenringen[117X,
  [18XOberwolfach Reports[118X, European Mathematical Society, [19X4[119X, 4 (2007), 3209-3239.
  
  [[20XKK15[120X]  [16XKimmerle,  W.  and  Konovalov,  A.  B.[116X,  [17XRecent  advances on torsion
  subgroups  of  Integral Group Rings[117X, [18XProc. of Groups St Andrews 2013[118X (2015),
  331--347.
  
  [[20XLP89[120X]  [16XLuthar,  I.  S.  and Passi, I. B. S.[116X, [17XZassenhaus conjecture for A_5[117X,
  [18XProc. Indian Acad. Sci. Math. Sci.[118X, [19X99[119X, 1 (1989), 1--5.
  
  [[20XMdRS16[120X]  [16XMargolis,  L.,  del  R{\'{\i}}o,  {.  and  Serrano, M.[116X, [17XZassenhaus
  Conjecture  on  torsion units holds for PSL(2,p) with p a Fermat or Mersenne
  prime[117X,            [18XSubmitted[118X            (2016),           32           pages,
  \href{https://arxiv.org/abs/1608.05797}{\nolinkurl{arXiv:1608.05797
  [math.RA]}}.
  
  [[20XMRSW87[120X]  [16XMarciniak, Z., Ritter, J., Sehgal, S. and Weiss, A.[116X, [17XTorsion units
  in  integral  group  rings  of some metabelian groups. II[117X, [18XJournal of Number
  Theory[118X, [19X25[119X, 3 (1987), 340--352.
  
  [[20XSal11[120X]  [16XSalim,  M.[116X,  [17XKimmerle's conjecture for integral group rings of some
  alternating  groups[117X,  [18XActa  Math.  Acad.  Paedagog.  Nyh\'azi. (N.S.)[118X, [19X27[119X, 1
  (2011), 9--22.
  
  [[20XSal13[120X]  [16XSalim,  M.[116X,  [17XThe prime graph conjecture for integral group rings of
  some alternating groups[117X, [18XInt. J. Group Theory[118X, [19X2[119X, 1 (2013), 175--185.
  
  [[20XSeh93[120X]  [16XSehgal, S. K.[116X, [17XUnits in integral group rings[117X, Longman Scientific \&
  Technical,  Pitman  Monographs  and Surveys in Pure and Applied Mathematics,
  [19X69[119X, Harlow (1993), xii+357 pages.
  
  [[20XSri64[120X]  [16XSrinivasan,  B.[116X,  [17XOn  the  modular characters of the special linear
  group SL(2,p^n)[117X, [18XProc. London Math. Soc. (3)[118X, [19X14[119X (1964), 101--114.
  
  [[20Xtea[120X] [16Xteam, 4. t. 2.[116X, [17X4ti2---A software package for algebraic, geometric and
  combinatorial problems on linear spaces[117X, {A}vailable at \url{www.4ti2.de}.
  
  [[20XWag95[120X]  [16XWagner,  R.[116X,  [17XZassenhausvermutung  über die Gruppen textupPSL(2, p)[117X
  (1995), Diplomarbeit Universität Stuttgart.
  
  [[20XWei91[120X]  [16XWeiss,  A.[116X,  [17XTorsion units in integral group rings[117X, [18XJ. Reine Angew.
  Math.[118X, [19X415[119X (1991), 175--187.
  
  [[20XZas74[120X]  [16XZassenhaus,  H.[116X,  [17XOn  the  torsion units of group rings[117X, [18XEstudos de
  Mathemátics  em  homenagem  ao  Prof.  A.  Almeida  Costa, Instituto de Alta
  Cultura (Portugese)[118X (1974), 119-126.
  
  
  
  [32X
