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Title:Loops and Finite Affine Planes
Author(s):Rojas, Ricardo
Doctoral Committee Chair(s):Reznick, Bruce
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
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.
Issue Date:2008
Type:Text
Language:English
Description:44 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2008.
URI:http://hdl.handle.net/2142/86915
Other Identifier(s):(MiAaPQ)AAI3337927
Date Available in IDEALS:2015-09-28
Date Deposited:2008


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