| 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 |
|
| Keywords |
|
| Date of Defense |
1990-05-14 |
| Availability |
restricted |
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?
|
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LD5655.V856_1990.H966.pdf |
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