On the number of conjugacy class sizes and character degrees in finite 𝑝-groups

Fernández-Alcober, Gustavo; Moretó, Alexander

doi:10.1090/S0002-9939-01-05946-9

On the number of conjugacy class sizes and character degrees in finite $p$-groups
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by Gustavo A. Fernández-Alcober and Alexander Moretó PDF

Proc. Amer. Math. Soc. 129 (2001), 3201-3204 Request permission

Abstract:

In this note we prove that for any two integers $r,s>1$ there exist finite $p$-groups $G$ of class $2$ such that $|\operatorname {cd}(G)|=r$ and $|\operatorname {cs}(G)|=s$.

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