Scholarly Communications Project

Document Type:Dissertation
Name:Ramona Renee Ranalli
Email address:ranalli@math.vt.edu
URN:1997/00445
Title:The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
Degree:Doctor of Philosophy
Department:Mathematics
Committee Chair: Dr. Charles J. Parry
Chair's email:parrycj@math.vt.edu
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.

Abstract:

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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