Source: wikibot/infinite-group-theory
= Infinite group theory
{wiki=Infinite_group_theory}
Infinite group theory typically refers to the study of groups that are infinite in size, which can include a wide variety of mathematical structures in the field of abstract algebra. In mathematics, a group is a set equipped with an operation that satisfies four fundamental properties: closure, associativity, the existence of an identity element, and the existence of inverses.