Finite groups with certain subgroups of prime power order complemented

被引：4

作者：

Qian, Guohua ^{[1
]}

Tang, Feng ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2015年 / 423卷

基金：

中国国家自然科学基金;

关键词：

Finite group; Complemented subgroup;

D O I：

10.1016/j.jalgebra.2014.11.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P be a Sylow p-subgroup of a finite group G, and m be a given integer satisfying 1 <= m <= -1 + log(p) |P|. We investigate the structure of G under the assumption that all subgroups of P with order p(m) are complemented in G. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：950 / 962

页数：13

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