Existence of normal subgroups in finite p-groups

被引：5

作者：

Glauberman, George ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

JOURNAL OF ALGEBRA | 2008年 / 319卷 / 02期

关键词：

finite p-group;

D O I：

10.1016/j.jalgebra.2006.08.037

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose p is a prime, S is a finite p-group, and B is a subgroup of S of order p(n) and class at most c. Does S possess a normal subgroup of order p(n) and class at most c? J. Alperin showed that the answer is negative in general. In this article, we show that the answer is affirmative if n is sufficiently small relative to P. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：800 / 805

页数：6

共 10 条

[1] Limits of abelian subgroups of finite p-groups [J].