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On the number of conjugacy class sizes and character degrees in finite -groups
Authors:Gustavo A Ferná  ndez-Alcober  Alexander Moretó  
Institution:Departamento de Matemáticas, Universidad del País Vasco, 48080 Bilbao, Spain ; Departamento de Matemáticas, Universidad del País Vasco, 48080 Bilbao, Spain
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 $\vert\operatorname{cd}(G)\vert=r$ and $\vert\operatorname{cs}(G)\vert=s$.

Keywords:
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