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Dual linear spaces generated by a non-Desarguesian configuration

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Title: Dual linear spaces generated by a non-Desarguesian configuration
Authors: Seffrood, Jiajia Yang Garcia
Keywords: Vector spaces
Projective planes
Issue 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
show 1 moreviii, 161 leaves, bound ill. 29 cm
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Appears in Collections:Ph.D. - Mathematics
Ph.D. Dissertations- Mathematics Department

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