具有幂零局部子群的有限群  

FINITE GROUPS WITH NILPOTENT LOCAL SUBGROUPS

作　　者：郭文彬[1] 

机构地区：[1]徐州师范大学数学系,江苏徐州221116

出　　处：《数学年刊（A辑）》2004年第2期217-224,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.10171086)资助的项目.

摘　　要：一个有限非幂零群G称为PN-群,如果NC(P)是幂零的,对于每个素数p和每个满足PZ∞(G)的非正规子群p-子群P.本文将给出可解PN-群的结构和一些特征定理.A nonnilpotent finite group G is called a PN-group if for any prime p, NG(P) is nilpo-tent provided that P is a non-normal j?subgroup of G such that P Z∞(G). In this paper, the author determines the structure of soluble PJV-groups. Some characterization theorems of PN-groups are obtained.

关 键 词：可解群 子群的正规化子 幂零子群 超中心 

分 类 号：O152.1[理学—数学]