Let G be a finite group of order n, and denote by ρ(G) the product of element orders of G. The aim of this work is to provide some upper bounds for ρ(G) depending only on n and on its least prime divisor, when G belongs to some classes of non-cyclic groups.
Upper bounds for the product of element orders of finite groups
Di Domenico E.;Monetta C.;Noce M.
2023
Abstract
Let G be a finite group of order n, and denote by ρ(G) the product of element orders of G. The aim of this work is to provide some upper bounds for ρ(G) depending only on n and on its least prime divisor, when G belongs to some classes of non-cyclic groups.File in questo prodotto:
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