Some Finite Nonsolvable Groups Characterized by Their Solvable Subgroups

被引：0

作者：

李世荣 ^{[1
]}

赵耀庆 ^{[1
]}

机构：

[1] Department of Mathematics,Guangxi University

来源：

Acta Mathematica Sinica,English Series | 1988年 / 01期

关键词：

Some Finite Nonsolvable Groups Characterized by Their Solvable Subgroups;

D O I：

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摘要：

Let G be a finite nonsolvable group and H a proper subgroup of G.In this paper wedetermine the structure of G if G satisfies one of the following conditions:(1)Every solvable subgroup K(KH)is eitherp-decomposable or a Schmidt group,p being thesmallest odd prime factor of |G|.(2)|G:H| is divisible by an odd prime and every solvable subgroup K(KH)is either 2’-closed ora Schmidt group.(3)|G:H|is even and every solvable subgroup K(KH)is either 2-closed or a Schmidt group.

引用

页码：5 / 13

页数：9

共 5 条

[1] FINITE GROUPS IN WHICH EVERY NON-MAXIMAL PROPER SUBGROUP OF EVEN ORDER IS 2-CLOSED [J].

李世荣 .

Chinese Annals of Mathematics, 1983, (02) :199-205

[2]

Finite groups with Sylow 2-subgroups of class two. I[J] . Robert Gilman,Daniel Gorenstein.tran . 1975

[3]

Maximal subgroups of $PSp{4}(2^{n})$ containing central elations or noncentered skew elations[J] . David E. Flesner.Illinois Journal of Mathematics . 1975 (2)

[4]

Finite groups whose solvable subgroups are 2-closed or 2′-closed[J] . V. D. Mazurov,V. M. Sitnikov,S. A. Syskin.Algebra and Logic . 1971 (3)

[5]

On groups with abelian Sylow 2-subgroups[J] . Helmut Bender.Mathematische Zeitschrift . 1970 (1)

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