Title page for ETD etd-11297-16598

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 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
  • Bicyclic
  • Ideal Class Groups
  • Biquadratic
Date of Defense 1997-11-18
Availability unrestricted
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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