New necessary conditions for the existence of difference sets without self-conjugacy
type: Item
instance of: scholarly article
title: New necessary conditions for the existence of difference sets without self-conjugacy
zbMATH Open document ID: 1010.05012
author: Zhenlei Jia
published in: Journal of Combinatorial Theory. Series A
publication date: 2003-05-06T00:00:00Z
review text: The author generalizes a lemma of Arasu and Ma and applies this to obtain some necessary existence conditions for difference sets which avoid the strong technical assumption of self-conjugacy. In particular, he verifies Lander's conjecture (saying that the Sylow \(p\)-subgroup of the underlying group \(G\) cannot be cyclic if \(G\) is abelian and \(p\) divides both the group order \(v\) and the order \(n=k-\lambda\) of the difference set) for the McFarland, Spence, Davis-Jedwab and Chen families.
reviewed by: Dieter Jungnickel
Mathematics Subject Classification ID: 05B10
zbMATH DE Number: 1760683
zbMATH Keywords: difference set
MaRDI profile type: Publication
full work available at URL: jcta.2001.3239
OpenAlex ID: W1973815516
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DOI: 10.1006/JCTA.2001.3239
description: scientific article; zbMATH DE number 1760683