Abstract
A geometric proof is given in terms of Laguerre geometry of the theorem of Bagchi, Brouwer and Wilbrink, which states that if a generalized quadrangle of order s > 1 has an antiregular point then all of its points are antiregular.
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The authors would like to thank the reviewers for their suggestions which lead to a shortening of the proof of our main result.
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Communicated by J. D. Key.
This work was partially supported by a grant from the Research Grants Council of the HKSAR, China (Project number: HKU7060/11P).
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Pun, A.Y., Wong, P.P.W. A geometric proof of a theorem on antiregularity of generalized quadrangles. Des. Codes Cryptogr. 64, 255–263 (2012). https://doi.org/10.1007/s10623-011-9569-y
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DOI: https://doi.org/10.1007/s10623-011-9569-y