O problema da soma zero para grupos abelianos finitos

Abstract

The focus of this work is to study the Davenport’s constant and zero-sum problems. In order to introduce and define the problems to be studied, a review of some concepts in group theory will be done, along with some specific results on finite abelian groups that are not commonly covered in undergraduate studies. The Davenport’s constant is associated with the resolution of zero-sum problems in finite abelian groups. To calculate the Davenport’s constant of abelian groups, properties of counting and ring properties will also be utilized.