Source: wikibot/free-abelian-group
= Free abelian group
{wiki=Free_abelian_group}
A **free abelian group** is a specific type of mathematical structure in the field of group theory. To understand it, let's break down the terminology: 1. **Group**: A group is a set \\( G \\) equipped with a binary operation (often called multiplication) that satisfies four properties: closure, associativity, identity, and invertibility.