Extensions of Steiner Triple Systems
Copyright policy )Extensions of Steiner Triple Systems
ABSTRACTIn this article, we study extensions of Steiner triple systems by means of the associated Steiner loops. We recognize that the set of Veblen points of a Steiner triple system corresponds to the center of the Steiner loop. We investigate extensions of Steiner loops, focusing in particular on the case of Schreier extensions, which provide a powerful method for constructing Steiner triple systems containing Veblen points.
- University of Palermo Italy
- University of Debrecen Hungary
- Univesity of Debrecen Hungary
- Università degli studi di Salerno Italy
Schreier extensions, Loops, quasigroups, Steiner systems in finite geometry, Triple systems, Steiner loops, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05B07, 20N05, 51E10, Steiner triple systems, Veblen points
Schreier extensions, Loops, quasigroups, Steiner systems in finite geometry, Triple systems, Steiner loops, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), 05B07, 20N05, 51E10, Steiner triple systems, Veblen points
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