Definition:Group Action/Different Approaches

Different Approaches to
During the course of an exposition in group theory, it is usual to define a group action as a left group action, without introducing the concept of a right group action.

It is apparent during the conventional development of the subject that there is rarely any need to discriminate between the two approaches.

Hence, on, we do not in general consider the right group action, and instead present results from the point of view of left group actions alone.