Issue:

SSRSMI, Number 2, Volume XXXI

Section:

Volume 31, Number 2

Abstract:

In this short note, we give a new Menon-type identity involving the sum of element or-ders 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.

Keywords:

Menon’s identity, weighted Burnside’s lemma, group action, sum of element orders, sum of cyclic subgroup orders.

Code [ID]:

SSRSMI202102V31S01A0005 [0005407]

Note:

DOI:

Full paper:

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