Quadratic forms over fields of characteristic 2

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dc.contributor.authorGosnell, Lawrence Ervinen
dc.contributor.departmentMathematicsen
dc.date.accessioned2016-04-07T15:31:05Zen
dc.date.available2016-04-07T15:31:05Zen
dc.date.issued1973en
dc.description.abstractThis 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.en
dc.description.degreeMaster of Scienceen
dc.format.extentiii, 71 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/65034en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 34065650en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1973.G67en
dc.titleQuadratic forms over fields of characteristic 2en
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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