c#-Normality of Groups and its Properties

c#-Normality of Groups and its Properties
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DOI:
10.1007/s10468-011-9301-7
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发表时间:
1996-03
影响因子:
0.6
通讯作者:
Yanming Wang;Huaquan Wei
Yanming Wang;Huaquan Wei
中科院分区:
数学4区
文献类型:
--
作者:
Yanming Wang;Huaquan Wei

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本文在有限群中引入了一个新的正规性,称之为dc-正规性.研究了c#-正规子群对有限群结构的影响。本文给出了群p-幂零、p-超可解和超可解的一些充要条件。我们的结果统一和推广了一些相关结果。
We introduce a new normality in a finite group calledc#-normality. We investigate the influence ofc#-normal subgroups on the structure of finite groups. In this paper, we present some necessary and sufficient conditions for a group to bep-nilpotent,p-supersolvable and supersolvable. Our results unify and generalize some related ones.