Problems involving relative integral bases for quartic number fields

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...

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Bibliographic Details
Main Author: Hymo, John A.
Other Authors: Mathematics
Format: Others
Language:en
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/39404
http://scholar.lib.vt.edu/theses/available/etd-09202005-090947/