ON MULTIPLIERS OF DIFFERENCE SETS.

Abstract

Let D be an Abelian difference set v,k, lambda with k-lambda = n = 2n sub 1, n sub 1 odd. For every prime divisor of q of n sub 1 let t be identically equal to q(superscript (f sub q)) (v). If n > lambda, (n sub 1, lambda) = 1 then t is multiplier of D. Necessary conditions are given for the existence of a difference set with v = 9 q squared -2, k = 6 q squared -2, lambda = 4 q squared -2.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0666609

Entities

People

  • H. B. Mann
  • S. K. Zaremba

Organizations

  • University of Wisconsin–Madison

Tags

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Linear Algebra