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The closures of wreath products in product action

The closures of wreath products in product action

Let m be a positive integer and let Ω be a finite set.The mclosure of G ≤ Sym(Ω) is the largest permutation group on Ω having the same orbits as G in its induced action on the Cartesian product Ω m .The exact formula for the m-closure of the wreath …