In this dissertation class groups of imaginary bicyclic biquadratic fields are considered. In chapter 1 we develop a method for determining the structure of the 2-class group of K. In chapters 3, 4, and 5 this method is applied to determine all imaginary bicyclic biquadratic extensions of Q with class number 4, 8, and 16, as well as to determine the specific structure of each. / Ph. D.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/29790 |
| Date | 10 December 1997 |
| Creators | Ranalli, Ramona Renee |
| Contributors | Mathematics, Parry, Charles J., McCoy, Robert A., Rossi, John F., Boisen, Monte B. Jr., Brown, Ezra A. |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Detected Language | English |
| Type | Dissertation |
| Format | application/pdf, application/x-dvi |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
| Relation | etd.dvi, ranalli.pdf |
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