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arXiv · 1211.1797

Representing and counting the subgroups of the group Z_m x Z_n

Mario Hampejs·Nicki Holighaus·László Tóth·Christoph Wiesmeyr
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Abstract

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.

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Mario Hampejs, Nicki Holighaus, László Tóth, Christoph Wiesmeyr. 2012-11-08. Representing and counting the subgroups of the group Z_m x Z_n. https://arxiv.org/abs/1211.1797

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