The resolution of the anti-Pasch conjecture

Grannell, M. J.; Griggs, T. S. and Whitehead, C. A. (2000). The resolution of the anti-Pasch conjecture. Journal of Combinatorial Designs, 8(4) pp. 300–309.

DOI: https://doi.org/10.1002/1520-6610(2000)8:4%3C300::AID-JCD7%3E3.0.CO;2-R

Abstract

We show that an anti-Pasch Steiner triple system of order $v$ exists for $v\equiv 1$ or 3 (mod 6), apart from $v=7$ and 13.

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