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3-regularity in generalized quadrangles of order (s, s2)

✍ Scribed by J. A. Thas

Publisher: Springer
Year: 1984
Tongue: English
Weight: 194 KB
Volume: 17
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00181515

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✦ Synopsis

If (x,y,z)

is a 3-regular triad of a generalized quadrangle S=(P,B,I) of order (s, s2), s even, then {x,y,z}lu {x, y,z} ±± is contained in a subquadrangle of order s. As an application it is proved that a generalized quadrangle of order (4, 16) with at least one 3-regular triad is isomorphic to the classical generalized quadrangle Q(5,4) of order (4, 16).

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