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Proceedings of the American Mathematical Society

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Maximal intersecting families of finite sets and $ n$-uniform Hjelmslev planes


Authors: David A. Drake and Sharad S. Sane
Journal: Proc. Amer. Math. Soc. 86 (1982), 358-362
MSC: Primary 51C05; Secondary 05B25
DOI: https://doi.org/10.1090/S0002-9939-1982-0667307-3
MathSciNet review: 667307
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Abstract: The following theorem is proved. The collection of lines of an $ n$-uniform projective Hjelmslev plane is maximal when considered as a collectiion of mutually intersecting sets of equal cardinality.


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DOI: https://doi.org/10.1090/S0002-9939-1982-0667307-3
Article copyright: © Copyright 1982 American Mathematical Society