On the bi-embeddability of certain Steiner triple systems of order 15
type: Item
instance of: scholarly article
title: On the bi-embeddability of certain Steiner triple systems of order 15
zbMATH Open document ID: 1028.05016
author: G. K. Bennett
author: Michael John Grannell
author: T. S. Griggs
published in: European Journal of Combinatorics
publication date: 2003-03-18T00:00:00Z
review text: From among the 80 nonisomorphic Steiner triple systems of order 15, systems \(\#1\) and \(\#2\) in standard notation are the designs of points and lines of \(\text{PG}(3,2)\), and the system obtained from it by switching any of its Pasch configurations, respectively. It is shown that there exists no bi-embedding of STS \(\#1\) and \(\#2\) into an orientable surface, and that there are precisely five nonisomorphic bi-embeddings into a nonorientable surface.
Mathematics Subject Classification ID: 05B07
Mathematics Subject Classification ID: 05C10
zbMATH DE Number: 1884137
reviewed by: Alexander Rosa
MaRDI profile type: Publication
full work available at URL: eujc.2002.0559
OpenAlex ID: W2152498456
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cites work: Nonisomorphic Steiner triple systems
cites work: Q5609151
DOI: 10.1006/EUJC.2002.0559
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description: scientific article; zbMATH DE number 1884137