

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 bicyclicbiquadratic 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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