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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Format: | Article |
Language: | zho |
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Zhejiang University Press
2005-05-01
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Series: | Zhejiang Daxue xuebao. Lixue ban |
Subjects: | |
Online Access: | https://doi.org/zjup/1008-9497.2005.32.3.241-245 |