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    Quadratic forms over fields of characteristic 2

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    LD5655.V855_1973.G67.pdf (1.472Mb)
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    Date
    1973
    Author
    Gosnell, Lawrence Ervin
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    Abstract
    This thesis is concerned with the study of quadratic forms over fields of characteristic 2. First, we consider the extension of quadratic forms to fields of characteristic ≠ 2. Then we make the adjustments necessary to make the characteristic 2 case non-trivial, and investigate the structure of quadratic spaces. We define equivalence of quadratic forms and investigate a set of invariants. We develop a set of necessary and sufficient conditions for equivalence and give a characterization of non-equivalent forms over certain finite fields.
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    http://hdl.handle.net/10919/65034
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    • Masters Theses [20800]

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