Question: Solution 14. (Tutorial-work) Let a group G acts on sets S, T. Show that the rule G x (S x T) - (S x T)

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14. (Tutorial-work) Let a group G acts on sets S, T. Show that the rule G x (S x T) - (S x T) with g(x, y) = (gx, gy) for g E G defines a G-action on S x T. Show that the stabilizer of (x, y) is An B where A = Gx and B = Gy.

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