关于Conrad子群S_γ的若干结果  

On some results of Conrad subgroup S_γ

作　　者：吕新民[1] 

机构地区：[1]南方冶金学院理学系,江西赣州341000

出　　处：《商丘师范学院学报》2001年第2期59-62,共4页Journal of Shangqiu Normal University

摘　　要：G是l 群 ,Γm(G)是G之极小素子群所成集 ,Γ(G)是G之正则子群所成根系 .对于 γ∈Γ(G) ,Sγ=∩ {P∈Γm(G) |P Gγ} ,称每个Sγ 为Conrad子群 .本文研究Sγ 的特征 ,并由此建立扭类F与Fv2 以及FvLet G be an l group, Γ m(G) denotes the set of all minimal prime subgroups of G,Γ(G) denotes the root system of all regular subgroups of G. For any γ∈Γ(G),S γ=∩{P∈Γ m(G)｜PG γ} .Each S γ is said to be a Conrad subgroup.Some characteristics of S γ are studied and the equivalent conditions between F and F v 2 and between F v and SV are set up in this paper.

关 键 词：Conrad子群 F-群 几乎有限值ι-群 特殊值ι-群 极小素子群 正则子群 凸L-子群 极子群 

分 类 号：O152[理学—数学]