The number of subgroups of a direct product of cyclic p-groups
Document Type
Article
Publication Date
1-1-2018
Abstract
For a prime p and positive integer n, let Cp (n) and Cp (n) denote the elementary abelian p-group of order pn and the cyclic group of order pn, respectively. In this paper, we obtain an explicit formula for determining the number of subgroups of the direct product Cp (r) ×Cps where r and s are positive integers.
Keywords
Finite abelian group, Number of subgroups
Divisions
MathematicalSciences
Publication Title
Ars Combinatoria
Volume
139
Publisher
Charles Babbage Research Centre
COinS