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The average element order and the number of conjugacy classes of finite groups

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1 Published in 2020 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2020.11.009

Abstract: Let $o(G)$ be the average order of the elements of $G$, where $G$ is a finite group. We show that there is no polynomial lower bound for $o(G)$ in terms of $o(N)$, where $N\trianglelefteq G$,… read more here.

Keywords: element order; order; average element; conjugacy classes ... See more keywords