Chi Zhang

activity

20182022

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6 papers · 1 filter

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…

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 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