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The resolution of the anti-Pasch conjecture. (English) Zbl 0959.05016
The authors settle the long-standing conjecture (going back to Erdős (1976) and Brouwer (1977)) that for each $$v\equiv 1$$ or $$3$$ (mod $$6$$), $$v\neq 7,\;13$$, there exists a Steiner triple system of order $$v$$ that does not contain any Pasch configuration.

##### MSC:
 05B07 Triple systems
##### Keywords:
Steiner triple system; Pasch configuration
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##### References:
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