Open AccessRepresenting and Counting the Subgroups of the Group Z m × Z n
Author(s) -
Mario Hampejs,
Nicki Holighaus,
László Tóth,
Christoph Wiesmeyr
Publication year - 2014
Publication title -
journal of numbers
Language(s) - English
Resource type - Journals
eISSN - 2356-7511
pISSN - 2314-842X
DOI - 10.1155/2014/491428
Subject(s) - algorithm , artificial intelligence , computer science
We deduce a simple representation and the invariant factor decompositions of the subgroups of the group Zm×Zn, 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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