Some algorithmic properties are obtained related with the computation of the elementary divisors and a set of canonical generators of a finite abelian group, this properties are based on Crobner bases techniques used as a theoretical framework. As an application a new algorithm for computing the structure of the abelian group is presented.
['Mijail Borges-Quintana', 'Miguel A. Borges-Trenard', 'Edgar Martínez-Moro']
On the use of Gröbner bases for computing the structure of finite abelian groups