Zhen-Lin Wu

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20182023

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3 papers · 1 filter

math.GR2023

New characterizations of a normal subgroup to be hypercyclically embedded

Chenchen Cao, Zhenfeng Wu, Chi Zhang

A normal subgroup $E$ of a group $G$ is said to be hypercyclically embedded in $G$ if either $E = 1$ or $E \neq = 1$ and every chief factor of $G$ below $E$ is cyclic. In this article,…

math.GR2021

On finite groups factorized by $σ$ -nilpotent subgroups

Zhenfeng Wu, Chi Zhang

Let $G$ be a finite group and $σ = {σ_{i} ∣ i \in I}$ be a partition of the set of all primes $P$ , that is, $P = ⋃_{i \in I} σ_{i}$ and $σ_{i} \cap σ_{j} = \emptyset$ …

math.GR2018

On an open problem of Skiba

Zhenfeng Wu, Chi Zhang, Wenbin Guo

Let $σ = {σ_{i} ∣ i \in I}$ be some partition of the set $P$ of all primes, that is, $P = ⋃_{i \in I} σ_{i}$ and $σ_{i} \cap σ_{j} = \emptyset$ for all $i \neq = j$ . Let…

New characterizations of a normal subgroup to be hypercyclically embedded

On finite groups factorized by σ-nilpotent subgroups

On an open problem of Skiba

On finite groups factorized by $σ$ -nilpotent subgroups