If every element of a $G$-set is left fixed by the same element $g$ of $G$, then $g$ must be the identity $e$.
I believe this to be true, but the answers say that it's false. Can anyone provide a counter-example? Thanks!
If every element of a $G$-set is left fixed by the same element $g$ of $G$, then $g$ must be the identity $e$.
I believe this to be true, but the answers say that it's false. Can anyone provide a counter-example? Thanks!