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The Orbit-Stabilizer Theorem

The Orbit-Stabilizer Theorem. Stabilizers. Let G be a group of permutations on a set S. For each i in S, let stab G (i) be the set of permutations ? in G that fix i. That is, stab G (i) = {? in G | ?(i) = i}. stab (p). D 4. p. S. Visual Stabilizers.

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The Orbit-Stabilizer Theorem