Wei Zhou

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20232026

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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 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