Chi Zhang

activity

20152023

most citedDiagonalizable Higher Degree Forms and Symmetric Tensors

15 citations · 28 across the 17 of their papers we have counts for

collaborators

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9 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.GR2020

On a generalisation of finite $T$ -groups

Chi Zhang, Wenbin Guo

Let $σ = {σ_{i} ∣ i \in I}$ is some partition of all primes $P$ and $G$ a finite group. A subgroup $H$ of $G$ is said to be $σ$ -subnormal in $G$ if there exists a subgroup cha…

math.GR2020

Extension of elementary $p$ -groups and its application in classification of groups of prime exponent

Zheyan Wan, Yu Ye, Chi Zhang

Let $p$ be a prime number and $Z_{p} = Z / p Z$ . We study finite groups with abelian derived subgroup and exponent $p$ in terms of group extension data and thei…

math.GR2018

Finite groups with Frobenius normalizer condition for non-normal primary subgroups

Zhang Chi, Wenbin Guo

A finite group $P$ is said to be \emph{primary} if $∣ P ∣ = p^{a}$ for some prime $p$ . We say a primary subgroup $P$ of a finite group $G$ satisfies the \emph{Frobenius normalizer cond…

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.GR2018

On one generalization of finite nilpotent groups

Zhang Chi, Alexander N. Skiba

Let $σ = {σ_{i} ∣ i \in I}$ be a partition of the set $P$ of all primes and $G$ a finite group. A chief factor $H / K$ of $G$ is said to be $σ$ -central if the semidirect product…

math.GR2017

On $H_{σ}$ -permutably embedded and $H_{σ}$ -subnormaly embedded subgroups of finite groups

Wenbin Guo, Chi Zhang, Alexander N. Skiba +1

Let $G$ be a finite group. Let $σ = {σ_{i} ∣ i \in I}$ be a partition of the set of all primes $P$ and $n$ an integer. We write $σ (n) = {σ_{i} ∣ σ_{i} \cap π (n) \neq = \emptyset}$ …

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 finite groups factorized by σ-nilpotent subgroups

On a generalisation of finite T-groups

Extension of elementary p-groups and its application in classification of groups of prime exponent

Finite groups with Frobenius normalizer condition for non-normal primary subgroups

On an open problem of Skiba

On one generalization of finite nilpotent groups

On Hσ​-permutably embedded and Hσ​-subnormaly embedded subgroups of finite groups

On weakly sigma-permutable subgroups of finite groups

On finite groups factorized by $σ$ -nilpotent subgroups

On a generalisation of finite $T$ -groups

Extension of elementary $p$ -groups and its application in classification of groups of prime exponent

On $H_{σ}$ -permutably embedded and $H_{σ}$ -subnormaly embedded subgroups of finite groups

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