A note on difference sets
type: Item
instance of: scholarly article
title: A note on difference sets
zbMATH Open document ID: 0912.05015
author: Hikoe Enomoto
author: Mariko Hagita
author: Makoto Matsumoto
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-05-09T00:00:00Z
review text: Let \(G\) be a group not necessary abelian, and \(N\) a normal subgroup of \( G\). Suppose there is a \((v,k,\lambda)\)-DS in \(G\). Bounds on \(| N| \) and \(\lambda\) are given in terms mainly of \(k-\lambda\) under (strong) assumptions on the structure and the order of \(G/N\) using group rings. The results are applicable to a wide variety of parameters; so there exists no \((26,20,4)\)-DS in \(C_4\times C_8\times C_3\) and in \(C_2\times C_2\times C_8\times C_3\).
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 20C05
zbMATH DE Number: 1236147
zbMATH Keywords: parameters of difference sets
zbMATH Keywords: group difference sets
zbMATH Keywords: self-conjugate numbers
reviewed by: Giovanni Ferrero
MaRDI profile type: Publication
full work available at URL: jcta.1998.2881
OpenAlex ID: W2003184562
cites work: Q4878683
cites work: Q4026149
cites work: Q3967545
cites work: Q5612629
cites work: Polynomial addition sets and polynomial digraphs
cites work: A family of difference sets in non-cyclic groups
cites work: Character sums and difference sets
DOI: 10.1006/JCTA.1998.2881
description: scientific article; zbMATH DE number 1236147