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arXiv · 1603.07557

A geometric proof of Wilbrink's characterization of even order classical unitals

Alice M. W. Hui
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Abstract

Using geometric methods and without invoking deep results from group theory, we prove that a classical unital of even order $n\geq4$ is characterized by two conditions (I) and (II): (I) is the absence of O'Nan configurations of four distinct lines intersecting in exactly six distinct points; (II) is a notion of parallelism. This was previously proven by Wilbrink (1983), where the proof depends on the classification of finite groups with a split BN-pair of rank 1.

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Alice M. W. Hui. 2016-03-24. A geometric proof of Wilbrink's characterization of even order classical unitals. https://arxiv.org/abs/1603.07557

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