Source: wikibot/g-module
= G-module
{wiki=G-module}
In the context of algebra, particularly in representation theory and module theory, a **G-module** is a module that is equipped with an action by a group \\( G \\). Specifically, if \\( G \\) is a group and \\( M \\) is a module over a ring \\( R \\), a \\( G \\)-module is a set \\( M \\) together with a group action of \\( G \\) on \\( M \\) that is compatible with the operation of \\( M \\).