Isomorphic designs that are not multiplier equivalent
type: Item
instance of: scholarly article
title: Isomorphic designs that are not multiplier equivalent
zbMATH Open document ID: 0587.05014
DOI: 10.1016/0012-365X(85)90165-7
author: Neal Brand
published in: Discrete Mathematics
publication date: 1985-01-01T00:00:00Z
review text: Two classes of isomorphic cyclic \(2\)-\((4^n,3,2)\) designs which are not multiplier equivalent are constructed. The question about the existence of isomorphic but multiplier inequivalent designs was formulated as an open problem in \textit{M. J. Colbourn} and \textit{R. A. Mathon}'s paper in [Ann. Discrete Math. 7, 215--253 (1980; Zbl 0438.05012)]. Some isomorphic \(2\)-\((v+1,3,2)\) designs invariant under the cyclic group \(Z_v\) but not equivalent under a multiplier of \(Z_v\) \((v=2.4^n)\) are also constructed.
reviewed by: Vladimir D. Tonchev
Mathematics Subject Classification ID: 05B15
zbMATH DE Number: 3941554
zbMATH Keywords: block designs
zbMATH Keywords: cyclic designs
MaRDI profile type: Publication
cites work: Twofold triple systems and graph imbeddings
cites work: Sur les systèmes cycliques de triples de Steiner différents pour \(N\) premier (ou puissance de nombre premier) de la forme \(6n+1\). VI
cites work: Design isomorphisms and group isomorphisms
cites work: Topological invariants of 2-designs arising from difference families
cites work: Constructions and topological invariants of 2-(v,3,\(\lambda\) ) designs with group actions
cites work: Q3903016
cites work: On Cyclic Steiner 2-Designs
cites work: An Updated Bibliography and Survey of Steiner Systems
cites work: Q4150353
cites work: Q5557005
cites work: Q5592263
cites work: On automorphism groups of certain 2-(v,3,2) designs induced by group actions
cites work: Abelian Steiner Triple Systems
cites work: Block designs and graph imbeddings
description: scientific article; zbMATH DE number 3941554