| Autor: |
Mario, Galici, Filippone, Giuseppe |
| Rok vydání: |
2024 |
| Předmět: |
|
| Zdroj: |
Discrete Math. 348, No. 1, Article ID 114294, 13 p. (2025) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.disc.2024.114294 |
| Popis: |
The concept of Schreier extensions of loops was introduced in the general case in [11] and, more recently, it has been explored in the context of Steiner loops in [6]. In the latter case, it gives a powerful method for constructing Steiner triple systems containing Veblen points. Counting all Steiner triple systems of order v is an open problem for v>21. In this paper, we investigate the number of Steiner triple systems of order 19, 27 and 31 containing Veblen points and we present some examples. |
| Databáze: |
arXiv |
| Externí odkaz: |
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