A construction of cyclic Steiner triple systems of order \(p^ n\)
type: Item
instance of: scholarly article
title: A construction of cyclic Steiner triple systems of order \(p^ n\)
zbMATH Open document ID: 0636.05010
DOI: 10.1016/0012-365X(87)90171-3
published in: Discrete Mathematics
publication date: 1987-01-01T00:00:00Z
review text: This note constructs cyclic Steiner triple systems of orders \(p^ n\) for all primes \(p\equiv 1\pmod 6\). The systems have a number of interesting properties: 1. They are simply constructed counter examples to the Bays- Lambossy conjecture concerning isomorphic systems which are not muliplier isomorphic. 2. They may be cyclically nested. 3. They contain cyclic subsystems of orders \(p^ m\) for all \(m\leq n\).
Mathematics Subject Classification ID: 05B07
Mathematics Subject Classification ID: 05B10
Mathematics Subject Classification ID: 51E10
zbMATH DE Number: 4035846
zbMATH Keywords: nested Steiner triple system
zbMATH Keywords: cyclic Steiner triple systems
author: Kevin T. Phelps
MaRDI profile type: Publication
cites work: On the Bays-Lambossy theorem
cites work: Q3726133
cites work: On Cyclic Steiner 2-Designs
cites work: Q3728911
cites work: Q3323963
cites work: Q3222204
cites work: Q4141265
description: scientific article; zbMATH DE number 4035846