Finite groups whose subgroups are either pronormal or selfnormalizing(子群为类正规或自正规的群)

Finite groups whose subgroups are either pronormal or selfnormalizing(子群为类正规或自正规的群)

对所有子群或为类正规或为自正规的有限群（称为PS群）进行了研究，获得了这类群的一些性质，并在极大子群为幂零或内幂零的条件下获得了这类群的分类.主要结果为：设G是一个PS群，则G的极大子群为幂零或内幂零当且仅当 G为下列群之一：(1)G是Dedekind群；(2) G = 〈a, b|ap = = 1, ab = aλ, q|p — 1, p|λq — 1, pλ — 1〉;(3) G = 〈a, b, c|ap = = cr =1, [b, c]=[a, c]= 1, ab = aλ, pλ- 1, p|λq - 1, q|p - 1, r|λ- 1)；(4) G = 〈a,b,c|ap...

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Bibliographic Details
Main Author: CHENShang-di(陈尚弟)
Format: Article
Language:zho
Published: Zhejiang University Press 2005-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
类正规
自正规
极大子群
Online Access:https://doi.org/zjup/1008-9497.2005.32.3.241-245

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