What is a simple example of a finite group-action, preferably on a set, that is free (semi-regular) but not regular/transitive?
2026-03-30 18:17:18.1774894638
Example of free (finite) group action that is not transitive
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Let $G$ be any group, and let $H$ be a proper subgroup. Now let $H$ act on $G$ by left translation.