arXiv subjects

Mario Hampejs

Publications and source records attributed to Mario Hampejs.

2 recordsLinked to original sources

arXiv2014

Representing and counting the subgroups of the group Z_m x Z_n

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.

math.GR↗

arXiv2013

On the subgroups of finite Abelian groups of rank three

We describe the subgroups of the group $\Z_m \times \Z_n \times \Z_r$ and derive a simple formula for the total number $s(m,n,r)$ of the subgroups, where $m,n,r$ are arbitrary positive integers. An asymptotic formula for the function $n\mapsto s(n,n,n)$ is also deduced.

math.GR↗