Type of Document	Dissertation
Author	Ranalli, Ramona Renee
Author's Email Address	ranalli@math.vt.edu
URN	etd-11297-16598
Title	The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields
Degree	Doctor of Philosophy
Department	Mathematics
Advisory Committee	Advisor Name Title Dr. Charles J. Parry Committee Chair Dr. Charles Parry Committee Member Dr. Ezra Brown Committee Member Dr. John Rossi Committee Member Dr. Monte Boisen Committee Member Dr. Robert McCoy Committee Member
Keywords	Ideal Class Groups Bicyclic Biquadratic
Date of Defense	1997-11-18
Availability	restricted
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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