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Title: Dual linear spaces generated by a non-Desarguesian configuration 
Author: Seffrood, Jiajia Yang Garcia
Date: 2005
Abstract: A dual linear space is a partial projective plane which contains the intersection of every pair of its lines. Every dual linear space can be extended to a projective plane, usually infinite, by a sequence of one line extensions. Moreover, one may describe necessary conditions for the sequence of one line extensions to terminate after finitely many steps with a finite projective plane. A computer program that attempts to construct a finite projective plane from a given dual linear space by a sequence of one line extension has been written by Dr. Nation. In particular, one would like to extend a dual linear space containing a non-Desarguesian configuration to a finite projective plane of nonprime- power order. This dissertation studies the initial dual linear spaces to be used in this algorithm. The main result is that there are 105 non-isomorphic initial dual linear spaces containing the basic non-Desarguesian configuration.
Description: Mode of access: World Wide Web. Thesis (Ph. D.)--University of Hawaii at Manoa, 2005. Includes bibliographical references (leaves 160-161). Electronic reproduction. Also available by subscription via World Wide Web viii, 161 leaves, bound ill. 29 cm
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Keywords: Vector spaces, Projective planes

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