N. AHANJİDEH, M. Foroudi GHASEMABADI

5176

On the structure offinite groupswit hthe given numbersofinvolutions

On the structure offinite groupswit hthe given numbersofinvolutions

Let G beafinitenon-solvablegroup.Inthispaper,weshowthatif1 / 8 ofelementsof G haveordertwo,then G iseitherasimplegroupisomorphicto PSL 2 ( q ) ,where q ∈{ 7 , 8 , 9 } or G ∼= GL2 (4). Z2 .Infactinthispaper,weanswerProblem132in[1]. AMSClassification: 20D06,20D20,20E45.
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  • [1]Y.G.BerkovichandE.M.Zhmud, Charactersoffinitegroups ,Part2,Amer.Math.Soc. Translationsofmathematicalmonographs,Vol172,1997.
  • [2]R.Brauer,M.SuzukiandG.E.Wall,Acharacterizationoftheone-dimensionaluni-modular projectivegroupsoverfinitefields, IllinoisJ.Math. , 2 (1958)718-745.
  • [3]J.H.Conway,R.T.Curtis,S.P.Norton,R.A.ParkerandR.A.Wilson, AtlasofFinite Groups,Clarendon,Oxford,1985.
  • [4]M.DavoudiMonfared,Simplegroupswiththesameinvolutionnumber, EuropeanJournal ofScientificResearch , 66(3) (2011)456-461.
  • [5]O.H.King, Thesubgroupstructureoffiniteclassicalgroupsintermsofgeometricconfigu- rations,Surveyincombinatorics,LondonMath.Soc.LectureNoteSer.327,2005,29-56.
  • [6]TheGapGroups,Gap-Groups,AlgorithmsandProgramming,version4.5, http://www.gapsystem.org ,2012.
  • [7]D.Gorenstine, Finitegroups ,HarperandRow,NewYork,1968.
  • [8]C.T.C.Wall,Ongroupsconsistingmostlyofinvolutions, Proc.CambridgePhil.Soc. , 67 (1970)251-262.
  • [9]J.H.Walter,Thecharacterizationoffinitegroupswithabelian 2-Sylowsubgroups, Annals ofMath./SecondSeries , 89(3) (1969)405-514.
Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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