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arXiv:1203.6201 [math.GR]AbstractReferencesReviewsResources

On the number of cyclic subgroups of a finite abelian group

László Tóth

Published 2012-03-28, updated 2012-11-07Version 2

We prove by using simple number-theoretic arguments formulae concerning the number of elements of a fixed order and the number of cyclic subgroups of a direct product of several finite cyclic groups. We point out that certain multiplicative properties of related counting functions for finite Abelian groups are immediate consequences of these formulae.

Comments: 6 pages, revised, short form
Journal: Bull. Math. Soc. Sci. Math. Roumanie 55(103) (2012), 423-428
Categories: math.GR, math.NT
Subjects: 20K01, 20K27, 11A25
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