Mario Hampejs, Nicki Holighaus, László Tóth, Christoph Wiesmeyr
Published 2012-11-08, updated 2014-10-26Version 3
We deduce a simple representation and the invariant factor decompositions of the subgroups of the group $\Bbb{Z}_m \times \Bbb{Z}_n$, where $m$ and $n$ are arbitrary positive integers. We obtain formulas for the total number of subgroups and the number of subgroups of a given order.
Comments: 12 pages, 1 figure, revised
Journal: Journal of Numbers, Volume 2014, Article ID 491428
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