Abstract
In 1995, Pálfy and Szabó stated the theorem that a projective space satisfies the six-cross theorem if and only if it is Desarguesian. A mistake in their proof is corrected. Moreover, for projective planes, the three-cross theorem of Pálfy and Szabó is identified as the Reidemeister condition.
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Presented by R. Freese.
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Penttila, T. The three-cross theorem and the six-cross theorem of Pálfy and Szabó. Algebra Univers. 78, 431–436 (2017). https://doi.org/10.1007/s00012-017-0473-9
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DOI: https://doi.org/10.1007/s00012-017-0473-9