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：
ActaMathematicaSinica | 2017年 / 33卷 / 05期
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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.
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页码：725 / 730
页数：6
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