Dissertation/Thesis Abstract

Loops and finite affine planes
by Rojas, Ricardo, Ph.D., University of Illinois at Urbana-Champaign, 2008, 44; 3337927
Abstract (Summary)

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.

Indexing (document details)
Advisor: Reznick, Bruce
Commitee:
School: University of Illinois at Urbana-Champaign
School Location: United States -- Illinois
Source: DAI-B 69/11, Dissertation Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics
Keywords: Fibered loops, Finite affine planes, Projective planes, Translation planes
Publication Number: 3337927
ISBN: 978-0-549-91207-1
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