Source: wikibot/fixed-point-subgroup
= Fixed-point subgroup
{wiki=Fixed-point_subgroup}
In the context of group theory, a fixed-point subgroup refers to the set of elements in a group that remain unchanged under the action of a particular element or a group of elements, typically in the context of a group acting on a set. It's related to the idea of certain symmetries or invariances in that action. More formally, consider a group \\( G \\) acting on a set \\( X \\).