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The Structure of the 2-Sylow Subgroups of the Ideal Class Groups of Imaginary Bicyclic Biquadratic FieldsRanalli, Ramona Renee 10 December 1997 (has links)
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. / Ph. D.
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