A note on affine difference sets
type: Item
instance of: scholarly article
title: A note on affine difference sets
zbMATH Open document ID: 0569.05010
DOI: 10.1007/BF01192006
author: Dieter Jungnickel
published in: Archiv der Mathematik
publication date: 1986-01-01T00:00:00Z
review text: \textit{H.-P. Ko} and \textit{O. K. Ray-Chaudhuri} [Discrete Math. 39, 37-58 (1982; Zbl 0484.05021)] have shown the following result: If there exists a cyclic affine difference set (for an affine plane) of even order \(n\neq 2\), then n is divisible by 4. We give a simple alternative proof for this result which also applies to abelian groups in general.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 3908446
zbMATH Keywords: cyclic affine difference set
zbMATH Keywords: abelian groups
MaRDI profile type: Publication
cites work: Q5545191
cites work: On the geometry of planar difference sets
cites work: Multiplier theorems
cites work: Intersection theorems for group divisible difference sets
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description: scientific article; zbMATH DE number 3908446