Source: wikibot/locally-finite-group
= Locally finite group
{wiki=Locally_finite_group}
A **locally finite group** is a type of group in the field of abstract algebra. Specifically, a group \\( G \\) is called locally finite if every finite subset of \\( G \\) generates a finite subgroup of \\( G \\). In other words, for any finite subset \\( S \\) of \\( G \\), the subgroup generated by \\( S \\), denoted by \\( \\langle S \\rangle \\), is finite.