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arXiv · 2205.12316

Upper bounds for the product of element orders of finite groups

Elena Di Domenico·Carmine Monetta·Marialaura Noce
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Abstract

Let $G$ be a finite group of order $n$, and denote by $\rho(G)$ the product of element orders of $G$. The aim of this work is to provide some upper bounds for $\rho(G)$ depending only on $n$ and on its least prime divisor, when $G$ belongs to some classes of non-cyclic groups.

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Elena Di Domenico, Carmine Monetta, Marialaura Noce. 2022-05-24. Upper bounds for the product of element orders of finite groups. https://arxiv.org/abs/2205.12316

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