A generalization of a result of Newman on multipliers of difference sets

Abstract

A theore m of M. Newman states that if v, k, A, are the parameters for a diffe rence se l D, and k-A = P or 2p (p a prime) then p is a multiplier of D. This theorem is genera li ze d 10 th e case of an abelian diffe rence set and several consequences are noted.