Topological invariants of 2-designs arising from difference families
type: Item
instance of: scholarly article
title: Topological invariants of 2-designs arising from difference families
zbMATH Open document ID: 0538.05009
DOI: 10.1016/0097-3165(84)90036-0
author: Neal Brand
author: W. Cary Huffman
published in: Journal of Combinatorial Theory. Series A
publication date: 1984-01-01T00:00:00Z
review text: The authors study \(2\text{-}(v,3, \lambda)\)-designs \(D\) on an abelian group of odd order s.t. translations by group elements are automorphisms of \(D\), to get a list of invariants of topological character useful also to give upper bounds on the order of the automorphism group of \(D\) and even (in certain cases) to find the exact structure of such group. Some methods of constructing designs are presented: they give many different designs which can be distinguished using the topological invariants above. Many examples and some open problems are given. Unfortunately main ideas and developments are too long to be reproduced here.
reviewed by: Giovanni Ferrero
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 54H99
zbMATH DE Number: 3855118
zbMATH Keywords: q-designs
zbMATH Keywords: automorhisms of designs
zbMATH Keywords: topological invariants
MaRDI profile type: Publication
full work available at URL: 0097-3165(84)90036-0
OpenAlex ID: W1982931774
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description: scientific article; zbMATH DE number 3855118