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The Universal Covers of a Family of Extended Generalized Quadrangles

✍ Scribed by S. Yoshiara

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
231 KB
Volume
19
Category
Article
ISSN
0195-6698

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✦ Synopsis

A sufficient condition for the simple connectedness is given for an infinite family of extended generalized quadrangles Y(S) of order (q + 1, q -1) constructed in [7] from a family S of planes in PG(5, q) with some conditions. Applying this, Y(S) is shown to be simply connected when S is obtained from a (q + 1)-arc in PG(3, q) except for q = 4, and when S is constructed from the hyperovals for which the associated permutation polynomials are explicitly given in the list [6, p.299], except possibly for a class of Payne.

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