Arcs and ovals in infinite K-clan geometry

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dc.contributor.authorBader, Lauraen
dc.contributor.authorO'Keefe, Christine M.en
dc.date.issued1998en
dc.description.abstractFor a finite field GF(q); to a q-clan of matrices there are associated generalized quadrangles, flocks of quadratic cones in PG(3, q), translation planes and, for q even, ovals in PG(2, q). The connections with generalized quadrangles, flocks and translation planes have recently been extended to the case of an infinite field K, under certain extra assumptions. In this note we extend the theory of ovals in PG(2, q) associated with q-clans, q even, to ovals in PG(2,K) associated with K-clans for (infinite) fields K of characteristic 2. Again, certain extra assumptions on the field K are made.en
dc.description.statementofresponsibilityLaura Bader, Christine M. O'Keefeen
dc.identifier.citationBulletin of the Belgian Mathematical Society - Simon Stevin, 1998; 5(2-3):127-139en
dc.identifier.issn1370-1444en
dc.identifier.urihttp://hdl.handle.net/2440/3484
dc.language.isoenen
dc.rightsCopyright status unknownen
dc.source.urihttp://projecteuclid.org/euclid.bbms/1103408997en
dc.subjectArcs; ovals; flocks; generalized quadranglesen
dc.titleArcs and ovals in infinite K-clan geometryen
dc.title.alternativeArcs and ovals in infinite Kappa-clan geometryen
dc.typeJournal articleen

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