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The holomorph of a group G is N orm B (λ(G)), the normalizer of the left regular representation λ(G) in its group of permutations B = P erm(G). The multiple holomorph of G is the normalizer of the holomorph in B. The multiple holomorph and its quotient by the holomorph encodes a great deal of information about the holomorph itself and about the group λ(G)(More)
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