最后，利用极大子群指数得到了关于可解群的一个新的结果。

Lastly, a new result for solvable groups is given by considering the indices of maximal subgroups.

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利用极大子群的几乎正规的概念得到了有限群为可解群的若干充要条件。

By using the concept of almost normal about maximal subgroup, some sufficient and necessary conditions for a finite group to be solvable are obtained.

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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。

Concerning the Abelian groups and solvable groups, the researches on CI-properties had rather thorough results until now.

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