On the number of conjugacy classes of finite nilpotent groups |
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| Authors: | Andrei Jaikin-Zapirain |
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| Affiliation: | Departamento de Matemáticas, Universidad Autonoma de Madrid and Instituto de Ciencias Matemáticas, CSIC-UAM-UC3M-UCM, Spain |
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| Abstract: | We establish the first super-logarithmic lower bound for the number of conjugacy classes of a finite nilpotent group. In particular, we obtain that for any constant c there are only finitely many finite p-groups of order pm with at most c⋅m conjugacy classes. This answers a question of L. Pyber. |
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| Keywords: | p-Groups The number of conjugacy classes |
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