On Wilbrink's Theorem
Document Type
Article
Publication Date
1987
Abstract
An easy extension of Wilbrink's Theorem on planar difference sets for higher values of λ is given. It follows that the Bruck-Ryser-Hall conjecture on the super-fluousness of the “p > λ” condition (or its variations thereof) in the multiplier theorems implies Hall's conjecture on the existence of only a finite number of (ν, κ, λ) abelian difference sets, for the case λ odd and κ − λ ≡ 2 (mod 4). More strongly, under these conditions we can show that the corresponding designs are Hadamard, i.e., k = 2λ + 1 and ν = 2k + 1.
Repository Citation
Arasu, K. T.
(1987). On Wilbrink's Theorem. Journal of Combinatorial Theory. Series A, 44 (1), 156-158.
https://corescholar.libraries.wright.edu/math/597
DOI
10.1016/0097-3165(87)90068-9
