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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 …
Tom De Medts's user avatar
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2 votes
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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 …
Tom De Medts's user avatar
  • 6,614