journal6 ›› 2008, Vol. 29 ›› Issue (4): 5-10.

• Mathematics • Previous Articles     Next Articles

A Characterization of Finite Simple Symplectic Groups S2n(2m)(n≥3) by Orders of Their Solvable Subgroups


  1. (Department of Mathematics,South-China Normal University,Guangzhou 510631,China)
  • Online:2008-07-25 Published:2012-05-21
  • About author:XU Ming-chun (1963-),male,was born in Dazhu County,Sichuan Province,Ph. doctor,associate professor;research area is finite groups theory.
  • Supported by:

    Supported by the National Natural Science Foundation of China (10771077)

Abstract: In this paper the author has proved the following theorem,which solves a problem of S. Abe and N. Iiyori for finite simple symplectic groups.Let G be a finite group and S2n(2m)(n≥3) be one of finite simple symplectic groups.Then GS2n(2m) if and only if ord(Ssol(G))=ord(Ssol(S2n(2m))),where ord(Ssol(G)) is the set of orders of solvable subgroups in G.

Key words: finite simple symplectic groups, orders of solvable subgroups, finite simple groups classification theorem, solvable prime graph

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