Title page for ETD etd-09202005-090947

Type of Document Dissertation
Author Hymo, John A.
URN etd-09202005-090947
Title Problems involving relative integral bases for quartic number fields
Degree PhD
Department Mathematics
Advisory Committee
Advisor Name Title
Parry, Charles J. Committee Chair
Brown, Ezra A. Committee Member
McCoy, Robert A. Committee Member
Rossi, John F. Committee Member
Snider, Robert L. Committee Member
  • Number theory research
Date of Defense 1990-05-14
Availability restricted

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?

  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
[BTD] LD5655.V856_1990.H966.pdf 1.83 Mb 00:08:28 00:04:21 00:03:48 00:01:54 00:00:09
[BTD] next to an author's name indicates that all files or directories associated with their ETD are accessible from the Virginia Tech campus network only.

Browse All Available ETDs by ( Author | Department )

dla home
etds imagebase journals news ereserve special collections
virgnia tech home contact dla university libraries

If you have questions or technical problems, please Contact DLA.