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2
votes
Accepted
Actions of $Z_n$ and actions of $Z_{n-1}$
I might be missing something, but it seems to me that there is not much going on in your construction. In fact, your original action of $Z_n$ on $X$ does nothing more than putting a cyclic ordering on …
3
votes
Looking for interesting actions that are not representations
Another important example is given by groups acting on graphs, especially (but not only) in finite group theory. Quite a few of the sporadic finite simple groups have actually been discovered as autom …