Definition:Group Action/Different Approaches

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Different Approaches to Definition of Group Action

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 $\mathsf{Pr} \infty \mathsf{fWiki}$, we do not in general consider the right group action, and instead present results from the point of view of left group actions alone.