Problems involving relative integral bases for quartic number fields

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dc.contributor.authorHymo, John A.en
dc.contributor.committeechairParry, Charles J.en
dc.contributor.committeememberBrown, Ezra A.en
dc.contributor.committeememberRossi, John F.en
dc.contributor.committeememberSnider, Robert L.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T21:19:03Zen
dc.date.adate2005-09-20en
dc.date.available2014-03-14T21:19:03Zen
dc.date.issued1990-05-14en
dc.date.rdate2005-09-20en
dc.date.sdate2005-09-20en
dc.description.abstractIn this dissertation the question of whether or not a relative extension of number fields has a relative integral basis is considered. In Chapters 2 and 3 we use a criteria of Mann to determine when a cyclic quartic field or a pure quartic field has an integral basis over its quadratic subfield. In the final chapter we study the question: if the relative discriminant of an extension K / k is principal, where [K : k] = l such that l is an odd prime and k is either a quadratic or a normal quartic number field, does K / k have an integral basis?en
dc.description.degreePh. D.en
dc.format.extentv, 52 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-09202005-090947en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-09202005-090947/en
dc.identifier.urihttp://hdl.handle.net/10919/39404en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1990.H966.pdfen
dc.relation.isformatofOCLC# 22249994en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1990.H966en
dc.subject.lcshNumber theory -- Researchen
dc.titleProblems involving relative integral bases for quartic number fieldsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en
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