ON SEMINORMAL SUBGROUPS OF FINITE GROUPS

被引：1

作者：

Ballester-Bolinches, A. ^{[1
]}

Beidleman, J. C. ^{[2
]}

Perez-Calabuig, V. ^{[1
]}

Ragland, M. F. ^{[3
]}

机构：

[1] Univ Valencia, Dept Algebra, Dr Moliner 50, E-46100 Burjassot, Valencia, Spain

[2] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[3] Auburn Univ, Dept Math, POB 244023, Montgomery, AL 36124 USA

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Finite group; soluble PST-group; T-o-group; MS-group; MSN-group;

D O I：

10.1216/RMJ-2017-47-2-419

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

All groups considered in this paper are finite. A subgroup H of a group G is said to seminormal in G if H is normalized by all subgroups K of G such that gcd(|H|,|K|) = 1. We call a group G an MSN-group if the maximal subgroups of all the Sylow subgroups of G are seminormal in G. In this paper, we classify all MSN-groups.

引用

页码：419 / 427

页数：9

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