Nonexistence of certain Fano subplanes of Figueroa planes

Brown, Julia M. Nowlin

Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, p. 675-684 / Harvested from Project Euclid

Résumé

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.

Publié le : 2006-01-14
Classification:

@article{1136902605,
     author = {Brown, Julia M. Nowlin},
     title = {Nonexistence of certain Fano subplanes of Figueroa planes},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {12},
     number = {5},
     year = {2006},
     pages = { 675-684},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1136902605}
}

Brown, Julia M. Nowlin. Nonexistence of certain Fano subplanes of Figueroa planes. Bull. Belg. Math. Soc. Simon Stevin, Tome 12 (2006) no. 5, pp.  675-684. http://gdmltest.u-ga.fr/item/1136902605/