A multiplier theorem for projections of affine difference sets
type: Item
instance of: scholarly article
title: A multiplier theorem for projections of affine difference sets
zbMATH Open document ID: 0881.05024
DOI: 10.1016/S0378-3758(96)00169-3
author: Alexander Pott
author: Dirk Reuschling
author: Bernhard Schmidt
published in: Journal of Statistical Planning and Inference
publication date: 1998-01-15T00:00:00Z
review text: Let \(R\) be a relative \((m,n,m-1,(m-2)/n)\)-difference set in an abelian group \(G\) (with \(|G|=nm\), \(|R|=m-1\)). Then \(m-1\) is a multiplier of \(R\). If \(m-1=p^iq^j\) (\(p,q\) prime numbers) then \(p^i\) and \(q^j\) are multipliers of \(R\). Moreover \(-1\) cannot be a multiplier of \(R\). There are several wrong proofs of the last result in the literature.
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1057367
zbMATH Keywords: multipliers for relative difference sets
zbMATH Keywords: abelian relative difference sets
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
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full work available at URL: s0378-3758(96)00169-3
OpenAlex ID: W2153929081
description: scientific article; zbMATH DE number 1057367