# Charlotte Scott Centre for Algebra

School of Mathematics & Physics, University of Lincoln

# New paper accepted by Journal of Algebra

New paper by Evgeny Khukhro (Univ. of Lincoln), Alexander Moretó (Univ. of Valencia, Spain), and Mohammad Zarrin (Univ. of Kurdistan, Iran),  The average element order and the number of conjugacy classes of finite groups” has been accepted for publication in Journal of Algebra. The work was supported by Mathematical Center in Akademgorodok, Ministerio de Ciencia e Innovación PID-2019-103854GB-100 and FEDER funds.

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 $N\trianglelefteq G$, even when $G$ is a prime-power order group and $N$ is abelian. This gives a negative answer to a question of A. Jaikin-Zapirain.

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This entry was posted on November 20, 2020 by in grants, New publications, research.