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    First Multiplier Theorem

    Definition

    Let D be a planar Abelian difference set and t be any divisor of n. Then t is a numerical multiplier of D, where a multiplier is defined as an automorphism α of a group G which takes D to a translation g + D of itself for some g element G. If α is of the form α:x->t x for t element Z relatively prime to the order of G, then α is called a numerical multiplier.

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