Finite groups with subnormal non-cyclic subgroups

被引：9

作者：

Monakhov, Victor ^{[1
]}

Trofimuk, Alexander ^{[2
]}

机构：

[1] Gomel Francisk Skorina State Univ, Dept Math, Gomel 246019, BELARUS

[2] Brest State Univ, Dept Math, Brest 224016, BELARUS

来源：

JOURNAL OF GROUP THEORY | 2014年 / 17卷 / 05期

关键词：

SUFFICIENT CONDITIONS; EMBEDDED SUBGROUPS; SYLOW SUBGROUPS;

D O I：

10.1515/jgt-2014-0014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider finite groups G such that every non-cyclic maximal subgroup in its Sylow subgroups is subnormal in G. In particular, we prove that such solvable groups have an ordered Sylow tower.

引用

页码：889 / 895

页数：7

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