A new family of extended generalized quadrangles

A. Del Fra, D. Pasechnik, A. Pasini

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

For every hyperovalOofPG(2,q) (qeven), we construct an extended generalized quadrangle with point-residues isomorphic to the generalized quadrangleT*2(O) of order(q-1, q+1).These extended generalized quadrangles are flag-transitive only whenq=2 or 4. Whenq=2 we obtain a thin-lined polar space with four planes on every line. Whenq=4 we obtain one of the geometries discovered by Yoshiara [28]. That geometry is produced in [28] as a quotient of another one, which is simply connected, constructed in [28] by amalgamation of parabolics. In this paper we also give a ‘topological’ construction of that simply connected geometry. *1 In memory of Giuseppe Tallini.
Original languageEnglish
Pages (from-to)155-169
Number of pages15
JournalEuropean Journal of Combinatorics
Volume18
Issue number2
DOIs
Publication statusPublished - 1997

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