Concerning the Abelian groups and solvable groups, the researches on CI-properties had rather thorough results until now.
到目前为止，对于交换群和可解群，CI -性的研究已有了相当彻底的结果。
In this paper, we give a conjugacy-class-length characterization of finite minimal non-abelian groups and establish some related results.
文中，我们给出了有限极小非abel群的一个共轭类长——刻画并建立某些相关的结果。
In the first section, namely 3.1, we obtained some description of the structure of some finite groups whose centralizers or normalizers of Abelian subgroups satisfy some conditions.
在第一部分3.1中，给出了若干由交换子群的中心化子或正规化子满足的条件所确定的有限群的结构描述。
In the last section, namely 3.4, we mainly discuss how Abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups.
本文第四部分3.4，主要讨论了交换子群对有限群可解性的影响，得到了有限群可解的若干充分条件。
In the last section, namely 3.4, we mainly discuss how Abelian subgroups influent the solvability of finite groups, so we obtain some sufficient conditions of solvable groups.
本文第四部分3.4，主要讨论了交换子群对有限群可解性的影响，得到了有限群可解的若干充分条件。
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