A characterization of finite simple groups by the orders of solvable subgroups

被引：2

作者：

Denecke, Klaus

Li, Xian-hua ^{[1
]}

Bi, Jian-xing

机构：

[1] Univ Potsdam, Inst Math, Potsdam, Germany

[2] Suzhou Univ, Sch Math Sci, Suzhou 215006, Peoples R China

[3] Liaoning Univ, Dept Math, Shenyang 110036, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2007年 / 50卷 / 05期

基金：

美国国家科学基金会;

关键词：

finite simple groups; solvable subgroup; order; characterization;

D O I：

10.1007/s11425-007-0024-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite group and S be a finite simple group. In this paper, we prove that if G and S have the same sets of all orders of solvable subgroups, then G is isomorphic to S, or G and S are isomorphic to B.(q), C,(q), where n >= 3 and q is odd. This gives a positive answer to the problem put forward by Abe and Iiyori.

引用

页码：715 / 726

页数：12

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