A Class of Finite Resistant p-Groups

被引：0

作者：

He Guo LIU ^{[1
]}

Yu Lei WANG ^{[2
]}

机构：

[1] Department of Mathematics,Hubei University

[2] Department of Mathematics,He'nan University of

来源：

Acta Mathematica Sinica | 2017年 / 33卷 / 05期

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D O I：

暂无

中图分类号：

O152.1 [有限群论];

学科分类号：

摘要：

A finite p-group P is called resistant if, for any finite group G having P as a Sylow p-group,the normalizer NG（P） controls p-fusion in G. Let P be a central extension as 1→ Zpm→ P→ Zp ×···× Zp→1,and |P'|≤p,m≥2. The purpose of this paper is to prove that P is resistant.

引用

页码：725 / 730

页数：6