Abstract
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?
Degree
thesis:*- Name thesis:degree_name
- Ph. D.
- Level thesis:degree_level
- doctoral
- Discipline thesis:degree_discipline
- Mathematics
- Department dc:contributor.department
- Mathematics
- Grantor dc:publisher
- Virginia Tech
- Year dc:date.issued
- 1990
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Hymo, John A.
- Chair dc:contributor.committeechair
-
- Parry, Charles J.
- Committee members dc:contributor.committeemember
-
- Brown, Ezra A.
- Rossi, John F.
- Snider, Robert L.
- McCoy, Robert A.
Rights
dc:rights- Statement dc:rights
-
- In Copyright
- Licence dc:rights.uri
- Language dc:language.iso
- en
Identifiers
dc:identifier.*- Dc Identifier Other
- etd-09202005-090947
- OAI identifier oai:identifier
- oai:vtechworks.lib.vt.edu:10919/39404