ON THE TYPE OF CONJUGACY CLASSES AND THE SET OF INDICES OF MAXIMAL SUBGROUPS

被引：0

作者：

Shi, J. ^{[1
]}

Wu, Z. ^{[2
]}

Hou, R. ^{[1
]}

机构：

[1] Yantai Univ, Sch Math & Informat Sci, Yantai 264005, Peoples R China

[2] Guangxi Univ, Xingjian Coll Sci & Liberal Arts, Nanning 530004, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 03期

关键词：

Maximal subgroup; non-abelian simple group; the type of conjugacy classes; the set of indices; FINITE SIMPLE-GROUPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group. By MT(G) = (m(1),..., m(k)) we denote the type of conjugacy classes of maximal subgroups of G, which implies that G has exactly k conjugacy classes of maximal subgroups and m(1),..., m(k) are the numbers of conjugates of maximal subgroups of G, where m(1) <= ... <= m(k). In this paper, we give some new characterizations of finite groups by the type of conjugacy classes of maximal subgroups. By pi(t) (G) we denote the set of indices of all maximal subgroups of G. We also investigate the influence of the set of indices of all maximal subgroups on the structure of finite groups.

引用

页码：867 / 874

页数：8

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