Marius Tarnauceanu: An arithmetic method of counting the subgroups of a finite abelian group, p.373-386

Abstract:

The main goal of this paper is to apply the arithmetic method developed in our previous paper [#!13!#] to determine the number of some types of subgroups of finite abelian groups.

Key Words: Finite abelian groups, number of subgroups, number of cyclic subgroups, number of elements, matrices of integers.

2000 Mathematics Subject Classification: Primary: 20K01;
Secondary: 20K27, 11C20, 15A36.

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