IJPAM: Volume 49, No. 1 (2008)

LAGUERRE PLANES AND THE 8-POINT BUNDLE FORMS

Robert D. Knight
Department of Mathematics
Ohio University - Chillicothe
P.O. Box 692, Chillicothe, OH 45601-0629, USA
e-mail: knightr@ohio.edu


Abstract.The author proved in The bundle form $\mf B1^2$ characterizes ovoidal Laguerre planes that $\mf B1^2$ implies Kahn's Full Bundle Theorem, and thus characterizes ovoidal Laguerre planes. In this paper, we show that ovoidal Laguerre planes are also characterized by each of the $8$-point bundle forms $\mf B1^1$ and $\mf B0$, but not by $\mf B2$.

Received: July 24, 2008

AMS Subject Classification: 51B15, 52C30

Key Words and Phrases: bundle theorem, bundle form, cycle, elation Laguerre plane, ovoidal Laguerre plane

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 49
Issue: 1