自中心化子群对有限群结构的影响

doi:10.16088/j.issn.1001-6600.2020.05.006

Abstract

Abstract: This paper mainly studies the influence of C-normality of self-centralizing subgroups and the number of conjugate classes of self-centralizing subgroups on the structure of finite groups. Some sufficient conditions for finite groups to be supersolvable groups or solvable groups are obtained and some results of the classification of finite groups certain some conditions are also obtained.

Key words: self-centralizing subgroups, C-normal subgroups, maximal abelian subgroups, solvable groups

CLC Number:

O152.1

SUN Yuqing, LU Jiakuan. Influence of Self-centralizing Subgroups on the Structure of Finite Groups[J].Journal of Guangxi Normal University(Natural Science Edition), 2020, 38(5): 48-55.

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Influence of Self-centralizing Subgroups on the Structure of Finite Groups

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