Transitive and Faithful Actions
An action is transitive when and faithful when every non-identity element of moves some point of .
Definition 4.6 (Action Transitivity and Faithfulness)
If , we say that the action is transitive.
If every element (except ) has such that , then is faithful.
Related
Stated in
- Definition 4.6 (Action Transitivity and Faithfulness)§4.1 Introduction