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Extensions of Steiner Triple Systems
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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.
Title: Extensions of Steiner Triple Systems
Description:
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.
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