Zhen-Lin Wu

activity

20162023

most citedOn the sharp Baer--Suzuki theorem for

π

-radicals: sporadic groups

7 citations · 8 across the 6 of their papers we have counts for

collaborators

6 papers

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★ 7 cited

On the sharp Baer--Suzuki theorem for $π$ -radicals: sporadic groups

Nanying Yang, Zhenfeng Wu, Danila O. Revin

Let $π$ be a proper subset of the set of all primes. Denote by $r$ the smallest prime which does not belong to $π$ and set $m = r$ if $r = 2$ or $3$ and $m = r - 1$ if $r \geqslant 5…

math.GR2021★ 1 cited

On the sharp Baer--Suzuki theorem for the $π$ -radical

Nanying Yang, Zhenfeng Wu, Danila O. Revin +1

Let $π$ be a set of primes such that $∣ π ∣ ⩾ 2$ and $π$ differs from the set of all primes. Denote by $r$ the smallest prime which does not belong to $π$ and set $m = r$ if $r=…

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…

math.GR2016

On weakly $s i g ma$ -permutable subgroups of finite groups

Chi Zhang, Zhenfeng Wu, W. Guo

Let G be a finite group and σ = {σ_i, i \in I} be a partition of the set of all primes \mathbb{P}. A set \mathcal{H} of subgroups of G with 1 \in \mathcal{H} is said to be a comple…

New characterizations of a normal subgroup to be hypercyclically embedded

On the sharp Baer--Suzuki theorem for π-radicals: sporadic groups

On the sharp Baer--Suzuki theorem for the π-radical

On finite groups factorized by σ-nilpotent subgroups

On an open problem of Skiba

On weakly sigma-permutable subgroups of finite groups

On the sharp Baer--Suzuki theorem for $π$ -radicals: sporadic groups

On the sharp Baer--Suzuki theorem for the $π$ -radical

On finite groups factorized by $σ$ -nilpotent subgroups

On weakly $s i g ma$ -permutable subgroups of finite groups