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Contributions to the Theory of Loops

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math.CO 1

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2024 1

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On the number of small Steiner triple systems with Veblen points

math.CO · 2024-11-25 · conditional · novelty 6.0

The authors enumerate the non-isomorphic Steiner triple systems of orders 19, 27 and 31 that contain Veblen points: 3, 1736, and 2 with exactly three Veblen points, plus partial counts for order 31 with one Veblen point.

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  • On the number of small Steiner triple systems with Veblen points math.CO · 2024-11-25 · conditional · none · ref 2

    The authors enumerate the non-isomorphic Steiner triple systems of orders 19, 27 and 31 that contain Veblen points: 3, 1736, and 2 with exactly three Veblen points, plus partial counts for order 31 with one Veblen point.