Hadamard difference sets in nonabelian 2-groups with high exponent
type: Item
instance of: scholarly article
title: Hadamard difference sets in nonabelian 2-groups with high exponent
zbMATH Open document ID: 0889.05020
author: James A. Davis
author: Joel E. Iiams
published in: Journal of Algebra
publication date: 1998-06-11T00:00:00Z
review text: An abelian group of order \(2^{2t +2}\) can contain a difference set only if the exponent of the group is at most \(2^{t +2}\). The paper describes a class of difference sets in nonabelian groups of order \(2^{4t +2}\) with exponent \(2^{3t +2}\). This generalizes a result by \textit{R. A. Liebler} and \textit{K. W. Smith} [On difference sets in certain 2-groups, Coding theory, design theory, group theory. 195-211 (1993)] for \(t=1\).
reviewed by: Vladimir D. Tonchev
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1115982
zbMATH Keywords: difference set
MaRDI profile type: Publication
full work available at URL: jabr.1997.7197
OpenAlex ID: W2008394200
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DOI: 10.1006/JABR.1997.7197
description: scientific article; zbMATH DE number 1115982