The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic Fields

Ranalli, Ramona Renee2014-03-142014-03-141997-11-18etd-11297-16598http://hdl.handle.net/10919/29790In 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.In CopyrightBicyclicIdeal Class GroupsBiquadraticThe Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic FieldsDissertationhttp://scholar.lib.vt.edu/theses/available/etd-11297-16598/