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子群阶的集合对单群的影响

The Influence of the Set of Orders of Subgroups on Simple Groups
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摘要 主要讨论子群的阶的集合对单群的影响,并用子群的阶的集合刻画部分单群,得出若两个单群的子群的阶的集合相等,则这两个单群同构. The paper discussed the influence of the set of orders of subgroups on simple groups,and used the set of orders of subgroups to depict some simple groups.And the result is that the two simple groups are isomorphic if the sets of orders of subgroups of two simple groups are equal.
作者 陈云坤
出处 《安徽师范大学学报(自然科学版)》 CAS 北大核心 2011年第2期107-109,127,共4页 Journal of Anhui Normal University(Natural Science)
基金 贵州省科技基金(黔基合J字LKS(2010)04)
关键词 子群的阶 子群的指数 同构 the orders of subgroups the indxes of subgroups isomorphic
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  • 1张远达.有限群构造[M].北京:科学出版社,1984.. 被引量:6
  • 2Thompson J G. Nonsolvable finite groups all of whose local subgroups are solvable I. Bull Amer Math Soc,1986, 74:383-437 被引量:1
  • 3Mazurov V D, Sitnikov V M, Syskin S A. Finite groups whose solvable subgroup are 2-closed or 2'-closed.Algebra I Logika, 1979, 9:313-341 被引量:1
  • 4Li S R, Zhao Y Q. Some finite nonsolvable groups characterized by their solvable subgroups. Acta Math Sinica, New Series, 1988, 4(1): 5-13 被引量:1
  • 5Li X H, Wang D J. Some finite nonsolvable groups characterized by teir solvable subgroups. Communications in Algebra, 1996, 24(7): 2221-2233 被引量:1
  • 6Abe S. A characterization of some finitr simple groups by orders of their solvable subgroups. Hokkaido Mathematical Journal, 2002, 31:349-361 被引量:1
  • 7Kimmerle W, Lyons R, Sanding R, et al. Composition factors from the group ring and Artin's theorem on orders of simple groups. Proc London Math Soc, 1990, 60(3): 89-122 被引量:1
  • 8Aschbacher M, Seitz G N. Involutions in chevalley groups over field of even order. Nagoya Math J, 1976,63:1-91 被引量:1
  • 9Cohen A M, Liebeck M W, Saxl J, et al. The local maximal subgroups of exceptional groups of Lie type,finite and Algebraic. Proc London Math Soc, 1992, 64(3): 21-48 被引量:1
  • 10Liebeck M W, Praeger C E, Saxl J. Transitive subgroups of primitive permutation groups. Journal of Algebra, 2000, 234:291-361 被引量:1

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