Wei Zhou

collaborators

3 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 Ï(G) \subseteq {2,3,5},…

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…

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

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