no code implementations • 10 Apr 2013 • Mario Hampejs, László Tóth
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.
Group Theory Number Theory 20K01, 20K27, 11A25, 11N37
no code implementations • 8 Nov 2012 • Mario Hampejs, Nicki Holighaus, László Tóth, Christoph Wiesmeyr
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.
Group Theory Combinatorics Number Theory 20K01, 20K27, 05A15, 11A25
