On the bi-embeddability of certain Steiner triple systems of order 15 (Q1864565)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On the bi-embeddability of certain Steiner triple systems of order 15 |
scientific article; zbMATH DE number 1884137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the bi-embeddability of certain Steiner triple systems of order 15 |
scientific article; zbMATH DE number 1884137 |
Statements
On the bi-embeddability of certain Steiner triple systems of order 15 (English)
0 references
18 March 2003
0 references
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.
0 references
0.9844638
0 references
0.89360523
0 references
0.8893799
0 references
0.88742995
0 references
