Finite groups with some subgroups 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 chief series $Γ_{G} : 1 = G_{0} < G_{1} < \cdot \cdot \cdot < G_{n} = G$ of $G$ such that for every $G$ -chief factor $G_{i} / G_{i - 1}$ $(1 \leq i \leq n)$ of $Γ_{G}$ , $∣ G / G_{i - 1} : N_{G / G_{i - 1}} (H G_{i - 1} / G_{i - 1} \cap G_{i} / G_{i - 1}) ∣$ is a $π (H G_{i - 1} / G_{i - 1} \cap G_{i} / G_{i - 1})$ -number. In this paper, we investigate how some subgroups satisfying the partial $Π$ -property influence the structure of finite groups.

Finite groups with some subgroups 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 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 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 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 satisfying the partial $Π$ -property

讲解博客

AI智能校验

Finite groups with some subgroups satisfying the partial $Π$ -property

讲解博客

AI智能校验