A Class of Finite Resistant p-Groups

被引：0
作者：
Liu, He Guo [1 ]
Wang, Yu Lei [2 ]
机构：
[1] Hubei Univ, Dept Math, Wuhan 430062, Peoples R China
[2] Henan Univ Technol, Dept Math, Zhengzhou 450001, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2017年 / 33卷 / 05期
关键词：
Finite p-groups; symplectic groups; fused; p-centric; SWAN GROUPS; COHOMOLOGY;
D O I：
10.1007/s10114-016-4016-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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 N-G(P) controls p-fusion in G. Let P be a central extension as 1 -> Z(prn) -> P -> Z(p) x ... x Z(p) -> 1, and vertical bar P'vertical bar <=, 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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