Communications Project

Document Type:Dissertation
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.

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etd.dvi ranalli.pdf

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