Premium
Looking for difference sets in D 2 p × Z q
Author(s) -
Moore Emily H.,
Walker Amanda
Publication year - 2000
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/(sici)1520-6610(2000)8:1<35::aid-jcd5>3.0.co;2-m
Subject(s) - mathematics , combinatorics , prime (order theory) , order (exchange) , difference set , set (abstract data type) , group (periodic table) , discrete mathematics , computer science , physics , abelian group , finance , quantum mechanics , economics , programming language
We consider groups D 2 p × Z q , with p and q odd primes, q < p , and for which each prime dividing n has order p − 1 (mod p ). If such a group contains a nontrivial difference set, D , our main theorem gives constraints on the parameters of D . This in turn rules out difference sets in some groups of this form. For instance, D 22 × Z 3 contains no nontrivial difference set. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 35–41, 2000