Source: wikibot/group-action
= Group action
{wiki=Group_action}
In mathematics, particularly in the field of group theory, a **group action** is a formal way that a group operates on a set. More specifically, a group action is a way of describing how the elements of a group interact with the elements of a set in a way that respects the group structure. \#\#\# Definition: Let \\( G \\) be a group and \\( X \\) be a set.