Bulletin of the Belgian Mathematical Society - Simon Stevin

Nonexistence of certain Fano subplanes of Figueroa planes

Julia M. Nowlin Brown

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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.

Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 12, Number 5 (2006), 675-684.

Dates
First available in Project Euclid: 10 January 2006

Permanent link to this document
https://projecteuclid.org/euclid.bbms/1136902605

Digital Object Identifier
doi:10.36045/bbms/1136902605

Mathematical Reviews number (MathSciNet)
MR2241333

Zentralblatt MATH identifier
1139.51013

Citation

Brown, Julia M. Nowlin. Nonexistence of certain Fano subplanes of Figueroa planes. Bull. Belg. Math. Soc. Simon Stevin 12 (2006), no. 5, 675--684. doi:10.36045/bbms/1136902605. https://projecteuclid.org/euclid.bbms/1136902605


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