The Universal Covers of a Family of Extended Generalized Quadrangles

Author: Yoshiara S.

Source: European Journal of Combinatorics, Volume 19, Number 6, August 1998 , pp. 753-765(13)

Publisher: Academic Press

Abstract:

A sufficient condition for the simple connectedness is given for an infinite family of extended generalized quadrangles () of order (q + 1,q - 1) constructed in [7] from a family of planes inPG(5,q) with some conditions. Applying this, () is shown to be simply connected when is obtained from a (q + 1)-arc in PG(3,q) except for q = 4, and when 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. Copyright 1998 Academic Press

Language: English

Document Type: Research article

Affiliations: Division of Mathematical Sciences, Osaka Kyoiku University, Kashiwara, Osaka 582, Japan

Publication date: 1998-08-01

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