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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bader, Laura | en |
dc.contributor.author | O'Keefe, Christine M. | en |
dc.date.issued | 1998 | en |
dc.identifier.citation | Bulletin of the Belgian Mathematical Society - Simon Stevin, 1998; 5(2-3):127-139 | en |
dc.identifier.issn | 1370-1444 | en |
dc.identifier.uri | http://hdl.handle.net/2440/3484 | - |
dc.description.abstract | For 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.statementofresponsibility | Laura Bader, Christine M. O'Keefe | en |
dc.language.iso | en | en |
dc.rights | Copyright status unknown | en |
dc.source.uri | http://projecteuclid.org/euclid.bbms/1103408997 | en |
dc.subject | Arcs; ovals; flocks; generalized quadrangles | en |
dc.title | Arcs and ovals in infinite K-clan geometry | en |
dc.title.alternative | Arcs and ovals in infinite Kappa-clan geometry | en |
dc.type | Journal article | en |
Appears in Collections: | Pure Mathematics publications |
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