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A new Menon-type identity derived from group actions

Published 25 May 2021 in math.GR | (2105.12241v1)

Abstract: In this short note, we give a new Menon-type identity involving the sum of element orders and the sum of cyclic subgroup orders of a finite group. It is based on applying the weighted form of Burnside's lemma to a natural group action.

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