|Name:||Ramona Renee Ranalli|
|Title:||The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields|
|Degree:||Doctor of Philosophy|
|Committee Chair:||Dr. Charles J. Parry|
|Committee Members:||Dr. Charles Parry|
|Dr. Ezra Brown|
|Dr. Monte Boisen|
|Dr. John Rossi|
|Dr. Robert McCoy|
|Keywords:||Ideal Class Groups, Bicyclic, Biquadratic|
|Date of defense:||November 18, 1997|
|Availability:||Release the entire work for Virginia Tech access only.
After one year release worldwide only with written permission of the student and the advisory committee chair.
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.
List of Attached Files
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