Wei Zhou

activity

20232026

collaborators

4 papers

math.GR2026

On {2,3,5}-groups with conjugacy classes of distinct sizes

Wei Zhou, Ilya Gorshkov

A finite group G is called an ah-group if any two distinct conjugacy classes of G have distinct sizes. In this paper, we show that if G is an ah-group and π(G) \subseteq {2,3,5}, w…

math.GR2025

On $A$ -Groups with the Same Index Set as a Nilpotent Group

Wei Zhou, Ilya Gorshkov

Let $G$ be a finite group and $N (G)$ be the set of conjugacy class sizes of $G$ . For a prime $p$ , let $∣ G ∣ ∣_{p}$ be the highest $p$ -power dividing some element of $N (G)$ . and define…

math.GR2025

On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups

Wei Zhou

We construct examples of groups which have the same set of conjugacy class sizes as nilpotent groups, while their center is trivial. This answers a question posed by A. R. Camina i…

math.GR2023

Groups with at most 13 nonpower subgroups

Jiwei Zheng, Wei Zhou, D. E. Taylor

For a group G and positive interger m, Gm denotes the subgroup generated by the elements gm where g runs through G. The subgroups not of the form Gm are called nonpower subgroups.…

On {2,3,5}-groups with conjugacy classes of distinct sizes

On A-Groups with the Same Index Set as a Nilpotent Group

On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups

Groups with at most 13 nonpower subgroups

On $A$ -Groups with the Same Index Set as a Nilpotent Group