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    • University of Missouri-Columbia
    • Graduate School - MU Theses and Dissertations (MU)
    • Theses and Dissertations (MU)
    • Dissertations (MU)
    • 2008 Dissertations (MU)
    • 2008 MU dissertations - Freely available online
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    Explorations of geometric combinatorics in vector spaces over finite fields

    Hart, Derrick, 1980-
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    Date
    2008
    Format
    Thesis
    Metadata
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    Abstract
    We 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.
    URI
    https://doi.org/10.32469/10355/5585
    https://hdl.handle.net/10355/5585
    Degree
    Ph. D.
    Thesis Department
    Mathematics (MU)
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
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    • 2008 MU dissertations - Freely available online
    • Mathematics electronic theses and dissertations (MU)

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