On \((2n,2,2n,n)\) relative difference sets
type: Item
instance of: scholarly article
title: On \((2n,2,2n,n)\) relative difference sets
zbMATH Open document ID: 1027.05012
DOI: 10.1016/S0097-3165(02)00013-4
author: Yutaka Hiramine
published in: Journal of Combinatorial Theory. Series A
publication date: 2003-04-28T00:00:00Z
review text: The author proves the following interesting non-existence result on \((2n,2,2n,n)\) relative difference sets: the Sylow 2-subgroup of the underlying group \(G\) has to be non-cyclic and \(n\) is even provided that \(n\neq 1\). He also constructs some examples relative to non-normal subgroups.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1902852
zbMATH Keywords: relative difference set
reviewed by: Dieter Jungnickel
MaRDI profile type: Publication
cites work: Relative difference sets with \(n=2\)
cites work: Q5577154
cites work: Semiregular relative difference sets in 2-groups containing a cyclic subgroup of index 2
cites work: On Hadamard groups
cites work: Finite geometry and character theory
description: scientific article; zbMATH DE number 1902852