Guiyun Chen

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math.GR2024

A note on the $Π$ -property of some subgroups of finite groups

Zhengtian Qiu, Jianjun Liu, Guiyun Chen

Let $H$ be a subgroup of a finite group $G$ . We say that $H$ satisfies the $Π$ -property in $G$ if for any chief factor $L / K$ of $G$ , $ |G/K : N_{G/K}(HK/K\cap L/K )|…

math.GR2023

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

Zhengtian Qiu, Guiyun Chen, Jianjun Liu

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 $ \varGamma_{G}: 1 =G_{0} < G_{1} < \…

math.GR2023

A note on $p$ -supersolubility of finite groups

Zhengtian Qiu, Guiyun Chen, Jianjun Liu

Let $H$ be a subgroup of a finite group $G$ . We say that $H$ satisfies $L$ - $Π$ -property in $G$ if $∣ G / K : N_{G / K} (H K / K) ∣$ is a $π (H K / K)$ -number for a…

A note on the Π-property of some subgroups of finite groups

Finite groups with some subgroups satisfying the partial Π-property

A note on p-supersolubility of finite groups

A note on the $Π$ -property of some subgroups of finite groups

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

A note on $p$ -supersolubility of finite groups