University of Delaware
Discrete Mathematics Seminar

The subplanes of finite Figueroa planes
Bryan Petrak
University of Delaware
Tuesday, March 20, 2012
Ewing Hall 336 5.00 - 6.00 pm

Abstract: The Figueroa planes are an family of non-translation planes that are defined for both infinite orders and finite order $q^3$ for $q>2$ a prime power. We explore the subplanes of finite Figueroa planes and discuss the existence of a subplane of order $q$, as well as subplanes of order 2 and 3 in Figueroa planes of odd order. Finally we will discuss the non existence of certain larger order subplanes and the challenges to finding larger subplanes of Figueroa planes.