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Zulip Chat Archive

Stream: new members

Topic: group actions


OUCBUGH (Jul 31 2024 at 08:01):

If $f \in A(S)$ satisfies $f^{3}=i$, show that the orbit of any element of $S$ has one or three elements.

How to prove it?

Notification Bot (Jul 31 2024 at 12:27):

This topic was moved here from #graph theory > group actions by Kim Morrison.

Yury G. Kudryashov (Jul 31 2024 at 13:25):

First, you need to formulate it. What's $A(S)$? Where did this problem come from?


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