2015Journal of Zhengzhou UniversityRequires access

On F-Abnormal Maximal Subgroups and s-Completions

Gao Hu

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Abstract

Let F be a saturated formation which contains all supersolvable groups. The structure of finite groups was characterized by s-completions of F-abnormal maximal subgroups. Some necessary and sufficient conditions of the groups in F were obtained.

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Let F be a saturated formation which contains all supersolvable groups. The structure of finite groups was characterized by s-completions of F-abnormal maximal subgroups. Some necessary and sufficient conditions of the groups in F were obtained.

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Available abstract

Let F be a saturated formation which contains all supersolvable groups. The structure of finite groups was characterized by s-completions of F-abnormal maximal subgroups. Some necessary and sufficient conditions of the groups in F were obtained.

Key concepts: Mathematics, Combinatorics, Pure mathematics

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