ON HALL NORMALLY EMBEDDED SUBGROUPS OF FINITE GROUPS

被引：26

作者：

Li, Shirong ^{[1
]}

He, Jun ^{[1
]}

Nong, Guoping ^{[1
]}

Zhou, Longqiao ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 09期

关键词：

Meta-nilpotent group; Solvable group; The derived subgroup of a group;

D O I：

10.1080/00927870802504981

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a finite group G is called Hall normally embedded in G if H is a Hall subgroup of the normal closure H-G. Groups which contain a Hall normally embedded subgroup of order d for every factor d of vertical bar G vertical bar are characterized. Such groups are supersolvable with a cyclic nilpotent residual of square-free order.

引用

页码：3360 / 3367

页数：8

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