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
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