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arXiv:1811.04563 [math.GR]AbstractReferencesReviewsResources

The number of cyclic subgroups of finite abelian groups and Menon's identity

Marius Tărnăuceanu

Published 2018-11-12Version 1

In this note, we give a new formula for the number of cyclic subgroups of a finite abelian group. This is based on applying the Burnside's lemma to a certain group action. Also, it generalizes the well-known Menon's identity.

Categories: math.GR
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