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Community Bot
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A wealth of information is provided in the answers to this question.this question. In particlar, in the paper of Parris cited in the accepted answer, there are number theoretic conditions on $n,$ which guarantee that an action of $\mathbb{Z}/n\mathbb{Z}$ has fixed points.

A wealth of information is provided in the answers to this question. In particlar, in the paper of Parris cited in the accepted answer, there are number theoretic conditions on $n,$ which guarantee that an action of $\mathbb{Z}/n\mathbb{Z}$ has fixed points.

A wealth of information is provided in the answers to this question. In particlar, in the paper of Parris cited in the accepted answer, there are number theoretic conditions on $n,$ which guarantee that an action of $\mathbb{Z}/n\mathbb{Z}$ has fixed points.

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Igor Rivin
Igor Rivin
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A wealth of information is provided in the answers to this question. In particlar, in the paper of Parris cited in the accepted answer, there are number theoretic conditions on $n,$ which guarantee that an action of $\mathbb{Z}/n\mathbb{Z}$ has fixed points.