Let a group \(G\) act on a set \(X\), and let \(g\in G\). The fixed-point set of \(g\) is \[ X^g \coloneqq \theset{x\in X \st g\cdot x = x} \subseteq X. \]
What is the fixed-point set $X^g$ of a group action?
Fixed-point set $X^g$ of a group element
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