Problems involving relative integral bases for quartic number fields
dc.contributor.author | Hymo, John A. | en |
dc.contributor.committeechair | Parry, Charles J. | en |
dc.contributor.committeemember | Brown, Ezra A. | en |
dc.contributor.committeemember | Rossi, John F. | en |
dc.contributor.committeemember | Snider, Robert L. | en |
dc.contributor.committeemember | McCoy, Robert A. | en |
dc.contributor.department | Mathematics | en |
dc.date.accessioned | 2014-03-14T21:19:03Z | en |
dc.date.adate | 2005-09-20 | en |
dc.date.available | 2014-03-14T21:19:03Z | en |
dc.date.issued | 1990-05-14 | en |
dc.date.rdate | 2005-09-20 | en |
dc.date.sdate | 2005-09-20 | en |
dc.description.abstract | In 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.degree | Ph. D. | en |
dc.format.extent | v, 52 leaves | en |
dc.format.medium | BTD | en |
dc.format.mimetype | application/pdf | en |
dc.identifier.other | etd-09202005-090947 | en |
dc.identifier.sourceurl | http://scholar.lib.vt.edu/theses/available/etd-09202005-090947/ | en |
dc.identifier.uri | http://hdl.handle.net/10919/39404 | en |
dc.language.iso | en | en |
dc.publisher | Virginia Tech | en |
dc.relation.haspart | LD5655.V856_1990.H966.pdf | en |
dc.relation.isformatof | OCLC# 22249994 | en |
dc.rights | In Copyright | en |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
dc.subject.lcc | LD5655.V856 1990.H966 | en |
dc.subject.lcsh | Number theory -- Research | en |
dc.title | Problems involving relative integral bases for quartic number fields | en |
dc.type | Dissertation | en |
dc.type.dcmitype | Text | en |
thesis.degree.discipline | Mathematics | en |
thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
thesis.degree.level | doctoral | en |
thesis.degree.name | Ph. D. | en |
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