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THE NUMBER OF CYCLIC SUBGROUPS OF FINITE ABELIAN GROUPS AND MENON’S IDENTITY
Published online by Cambridge University Press: 17 May 2019
Abstract
We give a new formula for the number of cyclic subgroups of a finite abelian group. This is based on Burnside’s lemma applied to the action of the power automorphism group. The resulting formula generalises Menon’s identity.
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- Research Article
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- © 2019 Australian Mathematical Publishing Association Inc.
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