This is a variation of group|Find other variations of group | Read a survey article on varying group
QUICK PHRASES: cosimplicial object in category of groups, group object in category of cosimplicial sets
A cosimplicial group can be defined in the following equivalent ways:
- Explicitly, it is a covariant functor from the simplex category to the category of groups.
- It is a cosimplicial object in the category of groups.
- It is a group object in the category of cosimplicial sets.