Cosimplicial group

Abstract definition
A cosimplicial group can be defined in the following equivalent ways:


 * 1) Explicitly, it is a covariant functor from the simplex category to the category of groups.
 * 2) It is a cosimplicial object in the category of groups.
 * 3) It is a group object in the category of cosimplicial sets.

Related notions

 * Simplicial group
 * Chain complex of groups
 * Exact sequence of groups