FINITE GROUPS ALL OF WHOSE SECOND MAXIMAL SUBGROUPS ARE PSC-GROUPS

被引：4

作者：

Shen, Zhencai ^{[1
]}

Li, Shirong ^{[2
]}

Shi, Wujie ^{[1
]}

机构：

[1] Suzhou Univ, Sch Math, Suzhou 215006, Jiangsu, Peoples R China

[2] Guangxi Univ, Dept Math, Nanning 530004, Guangxi, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 02期

关键词：

Self-conjugate-permutable subgroup; PSC-group; minimal subgroup; second maximal subgroup; p-nilpotent group; supersolvable group; NORMALITY;

D O I：

10.1142/S0219498809003291

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A subgroup H of G is said to be self-conjugate-permutable if HHx = (HH)-H-x implies H-x = H. A finite group G is called PSC-group if every cyclic subgroup of group G of prime order or order 4 is self-conjugate-permutable. In the paper, first we give the structure of finite group G, all of whose maximal subgroups are PSC-groups. Then we also classified that finite group G all of whose second maximal subgroups are PSC-groups.

引用

页码：229 / 242

页数：14

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