Open Access
January 2006 Nonexistence of certain Fano subplanes of Figueroa planes
Julia M. Nowlin Brown
Bull. Belg. Math. Soc. Simon Stevin 12(5): 675-684 (January 2006). DOI: 10.36045/bbms/1136902605

Abstract

Using Grundhöfer's construction of the Figueroa planes from Pappian planes which have an order three planar collineation ${\widehat \alpha }$, we show that any Figueroa plane (finite or infinite) of characteristic not two cannot have a Fano subplane which includes an ${\widehat \alpha }$ invariant triangle.

Citation

Download Citation

Julia M. Nowlin Brown. "Nonexistence of certain Fano subplanes of Figueroa planes." Bull. Belg. Math. Soc. Simon Stevin 12 (5) 675 - 684, January 2006. https://doi.org/10.36045/bbms/1136902605

Information

Published: January 2006
First available in Project Euclid: 10 January 2006

zbMATH: 1139.51013
MathSciNet: MR2241333
Digital Object Identifier: 10.36045/bbms/1136902605

Rights: Copyright © 2006 The Belgian Mathematical Society

Vol.12 • No. 5 • January 2006
Back to Top