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
收藏
页码：950 / 962
页数：13
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