Invariant Sylow subgroups and solvability of finite groups

被引：5

作者：

Beltran, Antonio ^{[1
]}

机构：

[1] Univ Jaume 1, Dept Matemat, Castellon de La Plana 12071, Spain

来源：

ARCHIV DER MATHEMATIK | 2016年 / 106卷 / 02期

关键词：

Coprime action; Sylow subgroups; Solvable groups;

D O I：

10.1007/s00013-015-0844-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A and G be finite groups of relatively prime orders and assume that A acts on G via automorphisms. We study how certain conditions on G imply its solvability when we assume the existence of a unique A-invariant Sylow p-subgroup for p equal to 2 or 3.

引用

页码：101 / 106

页数：6

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