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solvable group相关的网络例句

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与 solvable group 相关的网络例句 [注:此内容来源于网络,仅供参考]

In this paper, by using conditional cnormalityof some special subgroups(such as minimal subgroups, maximal subgroups, Sylowsubgroups, maximal subgroups of Sylow subgroups)of G, we obtain some sufficient or necessaryconditions for a finite group to be solvable, supersolvable, nilpotent. Some previouslyknown results are generalized.

本文结合有限群的某些特殊子群(如,极小子群,极大子群,Sylow子群,Sylow子群的极大子群)的条件c-正规性来研究有限群的可解性,超可解性,幂零性,得到了有限群可解,超可解,幂零的若干充分和充要条件,推广了有限群的一些结果。

For a finite group G, a subgroup H is called c-normal in G if there is a normal subgroup K such that G=HK and H∩K≤H, the largest normal subgroup of G contained in H. c-normality was replaced by c-π-quasinormality or c-sub-normality. The following were showed equivalent. First, there is a solvable maximal subgroup M such that M is c-π-quasi-normal in G.

推广了有限群中的c-正规性概念,引入了c-次正规性和c-π-拟正规性概念,并利用新概念给出了有限群可解的几个条件,证明了:设G是有限群,那么,下述条件是等价的:G有一个极大子群M在G中是c-π-拟正规的而且是可解的。

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