A new Menon-type identity derived from group actions
Group Theory
2021-05-27 v1
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.
Keywords
Cite
@article{arxiv.2105.12241,
title = {A new Menon-type identity derived from group actions},
author = {Marius Tărnăuceanu},
journal= {arXiv preprint arXiv:2105.12241},
year = {2021}
}