Type of Document Dissertation Author Ranalli, Ramona Renee Author's Email Address email@example.com URN etd-11297-16598 Title The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields Degree PhD Department Mathematics Advisory Committee
Advisor Name Title Parry, Charles J. Committee Chair Boisen, Monte B. Jr. Committee Member Brown, Ezra A. Committee Member McCoy, Robert A. Committee Member Rossi, John F. Committee Member Keywords
- Ideal Class Groups
Date of Defense 1997-11-18 Availability unrestricted AbstractIn 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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