Infinite families of strictly cyclic Steiner quadruple systems
type: Item
instance of: scholarly article
title: Infinite families of strictly cyclic Steiner quadruple systems
zbMATH Open document ID: 0684.05009
DOI: 10.1016/0012-365X(89)90369-5
author: Helmut Siemon
published in: Discrete Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The author [Arch. Math. 49, 166-178 (1987; Zbl 0601.05006)] constructed strictly Steiner quadruple system \(sSQS(2.5^{\alpha})\). Here, the construction is extended to obtain sSQS \((2p^{\alpha})\), \(p=5(12)\) provided sSQS(2p) exists containing the base quadruples \(\{0,i,2i,v/2+i\}\), \(i=1,2,...,(v-2)/4\) and all orbits invariant under the mapping \(i\to +i(mod v)\).
Mathematics Subject Classification ID: 05B05
Mathematics Subject Classification ID: 05B07
Mathematics Subject Classification ID: 51E10
zbMATH DE Number: 4120181
zbMATH Keywords: cyclic automorphism group
zbMATH Keywords: Steiner quadruple system
reviewed by: Kishore Sinha
MaRDI profile type: Publication
cites work: On Quadruple Systems
cites work: Q3901525
cites work: A general recursive construction for quadruple systems
cites work: Zyklische Quadrupelsysteme
cites work: Q3712344
cites work: Q3782334
cites work: Some remarks on the construction of cyclic Steiner quadruple systems
description: scientific article; zbMATH DE number 4120181