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

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abstract

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.

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cs.LG 1

years

2025 1

verdicts

CONDITIONAL 1

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