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arXiv · 2105.12241

A new Menon-type identity derived from group actions

Marius Tărnăuceanu
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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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Marius Tărnăuceanu. 2021-05-25. A new Menon-type identity derived from group actions. https://arxiv.org/abs/2105.12241

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