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https://hdl.handle.net/2142/86915
Description
Title
Loops and Finite Affine Planes
Author(s)
Rojas, Ricardo
Issue Date
2008
Doctoral Committee Chair(s)
Reznick, Bruce
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Mathematics
Language
eng
Abstract
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.
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