A Class of Finite Resistant p-Groups  

作　　者：He Guo LIU Yu Lei WANG 

机构地区：[1]Department of Mathematics,Hubei University [2]Department of Mathematics,He'nan University of Technology

出　　处：《Acta Mathematica Sinica,English Series》2017年第5期725-730,共6页数学学报（英文版）

基　　金：Supported by NSFC(Grant Nos.11371154,11301150 and 11601121);Natural Science Foundation of Henan Province of China(Grant Nos.142300410134,162300410066)

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_(p^m)→ P→ Z_p × · · · × Z_p→1,and |P'|≤p,m≥2. The purpose of this paper is to prove that P is resistant.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_(p^m)→ P→ Z_p × · · · × Z_p→1,and |P'|≤p,m≥2. The purpose of this paper is to prove that P is resistant.

关 键 词：Finite p-groups symplectic groups FUSED p-centric 

分 类 号：O152.1[理学—数学]