Question: Let A be a nite set, and B a subset of A. Let Stab(B), the stabilizer of B, be the set of all permutations f

Let A be a nite set, and B a subset of A. Let Stab(B), the stabilizer of B, be the set of all permutations f with the property that for all at E B , f (as) E B. Prove that Stab(B) is a subgroup of SA

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