Cocycle for trivial group action
Definition in terms of cocycle for a group action
A -cocycle for trivial group action is a -cocycle for a group action of on , where the action is trivial.
A -cocycle for trivial group action of on is a function satisfying the following for all :
|Value of||Condition for being a -cocycle for trivial group action||Further information|
|1||, or||It becomes a homomorphism of groups from to , and hence, from the abelianization of to|
|2||, or .||2-cocycle for trivial group action|