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Item Description Seffrood, Jiajia Yang Garcia en_US 2009-09-09T19:49:12Z 2009-09-09T19:49:12Z 2005 en_US
dc.identifier en_US
dc.description Mode of access: World Wide Web. en_US
dc.description Thesis (Ph. D.)--University of Hawaii at Manoa, 2005. en_US
dc.description Includes bibliographical references (leaves 160-161). en_US
dc.description Electronic reproduction. en_US
dc.description Also available by subscription via World Wide Web en_US
dc.description viii, 161 leaves, bound ill. 29 cm en_US
dc.description.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. en_US
dc.format electronic resource en_US
dc.language.iso en-US en_US
dc.relation Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Mathematics; no. 4601 en_US
dc.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. en_US
dc.subject Vector spaces en_US
dc.subject Projective planes en_US
dc.title Dual linear spaces generated by a non-Desarguesian configuration en_US
dc.type Thesis en_US
dc.type.dcmi Text en_US

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