Loops and Finite Affine Planes

The Prime Power Conjecture for Finite Projective Planes motivates the research that we present here. We establish a correspondence between finite affine planes and certain finite fibered loops. We prove that certain finite affine planes must have even prime power order. Finally, we characterize the finite affine translation planes of odd order.

Name thesis:degree_name

Ph.D.

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Mathematics

Grantor

University of Illinois at Urbana-Champaign

Year dc:date

2015

Author dc:creator

• Rojas, Ricardo

Contributors dc:contributor

• Reznick, Bruce

• Mathematics

Language dc:language

eng

Identifier

(MiAaPQ)AAI3337927

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/86915