Please use this identifier to cite or link to this item:
Type: Journal article
Title: Arcs and ovals in infinite K-clan geometry
Other Titles: Arcs and ovals in infinite Kappa-clan geometry
Author: Bader, Laura
O'Keefe, Christine M.
Citation: Bulletin of the Belgian Mathematical Society - Simon Stevin, 1998; 5(2-3):127-139
Issue Date: 1998
ISSN: 1370-1444
Statement of
Laura Bader, Christine M. O'Keefe
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.
Keywords: Arcs; ovals; flocks; generalized quadrangles
Rights: Copyright status unknown
Published version:
Appears in Collections:Pure Mathematics publications

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.