  
  
  [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}.
  
  [[20XBC17[120X]  [16XB\"achle, A. and Caicedo, M.[116X, [17XOn the prime graph question for almost
  simple groups with an alternating socle[117X, [18XInternat. J. Algebra Comput.[118X, [19X27[119X, 3
  (2017), 333--347.
  
  [[20XBGK09[120X]  [16XBovdi,  V.  A.,  Grishkov,  A.  N.  and  Konovalov, A. B.[116X, [17XKimmerle
  conjecture  for  the Held and O'Nan sporadic simple groups[117X, [18XSci. Math. Jpn.[118X,
  [19X69[119X, 3 (2009), 353--361.
  
  [[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+18[120X]  [16XB\"{a}chle, A., Herman, A., Konovalov, A., Margolis, L. and Singh,
  G.[116X,  [17XThe  status  of the Zassenhaus conjecture for small groups[117X, [18XExp. Math.[118X,
  [19X27[119X, 4 (2018), 431--436.
  
  [[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}.
  
  [[20XBJK11[120X]  [16XBovdi,  V.  A.,  Jespers, E. and Konovalov, A. B.[116X, [17XTorsion units in
  integral  group  rings  of Janko simple groups[117X, [18XMath. Comp.[118X, [19X80[119X, 273 (2011),
  593--615.
  
  [[20XBK07a[120X]  [16XBovdi, V. A. and Konovalov, A. B.[116X, [17XIntegral group ring of the first
  Mathieu  simple  group[117X,  in Groups St. Andrews 2005. Vol. 1, Cambridge Univ.
  Press, Cambridge, London Math. Soc. Lecture Note Ser., [19X339[119X (2007), 237--245.
  
  [[20XBK07b[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.
  
  [[20XBK08[120X] [16XBovdi, V. A. and Konovalov, A. B.[116X, [17XIntegral group ring of the Mathieu
  simple group M_23[117X, [18XComm. Algebra[118X, [19X36[119X, 7 (2008), 2670--2680.
  
  [[20XBK09[120X]  [16XBovdi,  V.  A. and Konovalov, A. B.[116X, [17XIntegral group ring of Rudvalis
  simple group[117X, [18XUkra\"\i n. Mat. Zh.[118X, [19X61[119X, 1 (2009), 3--13.
  
  [[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.
  
  [[20XBK12[120X] [16XBovdi, V. A. and Konovalov, A. B.[116X, [17XIntegral group ring of the Mathieu
  simple group M_24[117X, [18XJ. Algebra Appl.[118X, [19X11[119X, 1 (2012), 1250016, 10.
  
  [[20XBKL08[120X]  [16XBovdi,  V.  A.,  Konovalov,  A. B. and Linton, S.[116X, [17XTorsion units in
  integral  group ring of the Mathieu simple group M_22[117X, [18XLMS J. Comput. Math.[118X,
  [19X11[119X (2008), 28--39.
  
  [[20XBKL11[120X]  [16XBovdi,  V.  A.,  Konovalov,  A. B. and Linton, S.[116X, [17XTorsion units in
  integral  group rings of Conway simple groups[117X, [18XInternat. J. Algebra Comput.[118X,
  [19X21[119X, 4 (2011), 615--634.
  
  [[20XBKM08[120X]  [16XBovdi, V. A., Konovalov, A. B. and Marcos, E. d. N.[116X, [17XIntegral group
  ring  of  the  Suzuki  sporadic  simple group[117X, [18XPubl. Math. Debrecen[118X, [19X72[119X, 3-4
  (2008), 487--503.
  
  [[20XBKS07[120X]  [16XBovdi,  V.  A.,  Konovalov, A. B. and Siciliano, S.[116X, [17XIntegral group
  ring  of  the Mathieu simple group M_12[117X, [18XRend. Circ. Mat. Palermo (2)[118X, [19X56[119X, 1
  (2007), 125--136.
  
  [[20XBKS18[120X]  [16XB\"achle, A., Kimmerle, W. and Serrano, M.[116X, [17XOn the first Zassenhaus
  conjecture and direct products[117X, [18XCan. J. Math. (to appear)[118X (2018), 1--17.
  
  [[20XBM17a[120X]  [16XB\"achle,  A.  and  Margolis,  L.[116X,  [17XOn the prime graph question for
  integral  group  rings  of 4-primary groups I[117X, [18XInternat. J. Algebra Comput.[118X,
  [19X27[119X, 6 (2017), 731--767.
  
  [[20XBM17b[120X]  [16XB\"achle,  A. and Margolis, L.[116X, [17XRational conjugacy of torsion units
  in integral group rings of non-solvable groups[117X, [18XProc. Edinb. Math. Soc. (2)[118X,
  [19X60[119X, 4 (2017), 813--830.
  
  [[20XBM18[120X]  [16XB\"achle, A. and Margolis, L.[116X, [17XHeLP: a GAP package for torsion units
  in integral group rings[117X, [18XJ. Softw. Algebra Geom.[118X, [19X8[119X (2018), 1--9.
  
  [[20XBM19a[120X] [16XB\"{a}chle, A. and Margolis, L.[116X, [17XAn application of blocks to torsion
  units in group rings[117X, [18XProc. Amer. Math. Soc.[118X, [19X147[119X, 10 (2019), 4221--4231.
  
  [[20XBM19b[120X]  [16XB\"{a}chle,  A.  and  Margolis, L.[116X, [17XOn the prime graph question for
  integral  group rings of 4-primary groups II[117X, [18XAlgebr. Represent. Theory[118X, [19X22[119X,
  2 (2019), 437--457.
  
  [[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.
  
  [[20XCM19[120X] [16XCaicedo, M. and Margolis, L.[116X, [17XOrders of units in integral group rings
  and  blocks of defect 1[117X, [18Xpreprint, arxiv.org/abs/arXiv:1906.03570[118X (2019), 26
  pages.
  
  [[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)).
  
  [[20XdRS19[120X]  [16Xdel  R\'{\i}o, \. and Serrano, M.[116X, [17XZassenhaus conjecture on torsion
  units  holds  for  SL(2,p)  and  SL(2,p^2)[117X,  [18XJ.  Group Theory[118X, [19X22[119X, 5 (2019),
  953--974.
  
  [[20XEM18[120X] [16XEisele, F. and Margolis, L.[116X, [17XA counterexample to the first Zassenhaus
  conjecture[117X, [18XAdv. Math.[118X, [19X339[119X (2018), 599--641.
  
  [[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.
  
  [[20XLP92[120X]  [16XLuthar,  I.  S.  and  Passi, I. B. S.[116X, [17XTorsion units in matrix group
  rings[117X, [18XComm. Algebra[118X, [19X20[119X, 4 (1992), 1223--1228.
  
  [[20XMar19[120X]  [16XMargolis,  L.[116X, [17XOn the prime graph question for integral group rings
  of Conway simple groups[117X, [18XJ. Symbolic Comput.[118X, [19X95[119X (2019), 162--176.
  
  [[20XMdR18[120X]  [16XMargolis, L. and del R\'{\i}o, \.[116X, [17XFinite Subgroups of Group Rings:
  A survey[117X, [18Xpreprint, arxiv.org/abs/arXiv:1809.00718[118X (2018), 23 pages.
  
  [[20XMdR19[120X]  [16XMargolis,  L.  and  del  R\'{\i}o,  \.[116X, [17XPartial augmentations power
  property:  a  Zassenhaus  conjecture related problem[117X, [18XJ. Pure Appl. Algebra[118X,
  [19X223[119X, 9 (2019), 4089--4101.
  
  [[20XMdRS19[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, [18XJ. Algebra[118X, [19X531[119X (2019), 320--335.
  
  [[20XMR18[120X]  [16XMargolis,  L.  and R{\'i}o, {. d.[116X, [17XCliff--Weiss inequalities and the
  Zassenhaus Conjecture[117X, [18XJ. Algebra[118X, [19X507[119X (2018), 292--319.
  
  [[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
