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dc.contributor.advisorIosevich, Alex, 1967-eng
dc.contributor.authorHart, Derrick, 1980-eng
dc.date.issued2008eng
dc.date.submitted2008 Springeng
dc.descriptionThe entire dissertation/thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file (which also appears in the research.pdf); a non-technical general description, or public abstract, appears in the public.pdf file.eng
dc.descriptionTitle from title screen of research.pdf file (viewed on June 8, 2009)eng
dc.descriptionVita.eng
dc.descriptionThesis (Ph. D.) University of Missouri-Columbia 2008.eng
dc.description.abstractWe study how large a set of points needs to be in a vector space over a finite field in order for the points to determine all of a certain type of geometric structure. In addition we show that there are key differences between the finite field version of these questions and the corresponding euclidean versions. Several arithmetic consequences are also explored.eng
dc.description.bibrefIncludes bibliographical referenceseng
dc.identifier.merlinb68801853eng
dc.identifier.oclc374649223eng
dc.identifier.urihttps://doi.org/10.32469/10355/5585eng
dc.identifier.urihttps://hdl.handle.net/10355/5585
dc.languageEnglisheng
dc.publisherUniversity of Missouri--Columbiaeng
dc.relation.ispartofcollectionUniversity of Missouri--Columbia. Graduate School. Theses and Dissertationseng
dc.rightsOpenAccess.eng
dc.rights.licenseThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
dc.subject.lcshRational points (Geometry)eng
dc.subject.lcshVector spaceseng
dc.subject.lcshFinite fields (Algebra)eng
dc.subject.lcshEuclid's Elementseng
dc.titleExplorations of geometric combinatorics in vector spaces over finite fieldseng
dc.typeThesiseng
thesis.degree.disciplineMathematics (MU)eng
thesis.degree.grantorUniversity of Missouri--Columbiaeng
thesis.degree.levelDoctoraleng
thesis.degree.namePh. D.eng


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