Finite groups with some subgroups of prime power order satisfying the partial $ Π$-property

Let $H$ be a subgroup of a finite group $G$ . We say that $H$ satisfies the partial $Π$ -property in $G$ if there exists a $G$ -chief series $Γ_{G} : 1 = G_{0} < G_{1} < \cdot \cdot \cdot < G_{n} = G$ of $G$ such that $∣ G / G_{i - 1} : N_{G / G_{i - 1}} (H G_{i - 1} / G_{i - 1} \cap G_{i} / G_{i - 1}) ∣$ is a $π (H G_{i - 1} / G_{i - 1} \cap G_{i} / G_{i - 1})$ -number for every $G$ -chief factor $G_{i} / G_{i - 1}$ of $Γ_{G}$ , $1 \leq i \leq n$ . In this paper, we investigate the structure of a finite group $G$ under the assumption that some subgroups of prime power order satisfy the partial $Π$ -property.

Finite groups with some subgroups of prime power order satisfying the partial $Π$ -property

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Finite groups with some subgroups of prime power order satisfying the partial $Π$ -property

文献摘要

讨论

讲解博客

AI智能校验

Finite groups with some subgroups of prime power order satisfying the partial ΠΠ-property

文献摘要

讨论

|讲解博客

|AI智能校验

Finite groups with some subgroups of prime power order satisfying the partial ΠΠ-property

文献摘要

讨论

|讲解博客

|AI智能校验

Finite groups with some subgroups of prime power order satisfying the partial $Π$ -property

讲解博客

AI智能校验

Finite groups with some subgroups of prime power order satisfying the partial $Π$ -property

讲解博客

AI智能校验