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Subgroups of finite abelian groups having rank two via Goursat's lemma

In: Tatra Mountains Mathematical Publications, vol. 59, no. 2
László Tóth
Detaily:
Rok, strany: 2014, 93 - 103
Kľúčové slová:
cyclic group, direct product, subgroup, number of subgroups, Goursat's lemma, finite abelian group of rank two
O článku:
Using Goursat's lemma for groups, a simple representation and the invariant factor decompositions of the subgroups of the group $\Zm × \Zn$ are deduced, where $m$ and $n$ are arbitrary positive integers. As consequences, explicit formulas for the total number of subgroups, the number of subgroups with a given invariant factor decomposition, and the number of subgroups of a given order are obtained.
Ako citovať:
ISO 690:
Tóth, L. 2014. Subgroups of finite abelian groups having rank two via Goursat's lemma. In Tatra Mountains Mathematical Publications, vol. 59, no.2, pp. 93-103. 1210-3195.

APA:
Tóth, L. (2014). Subgroups of finite abelian groups having rank two via Goursat's lemma. Tatra Mountains Mathematical Publications, 59(2), 93-103. 1210-3195.