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Type of Document Dissertation Author Ionita, Costel Author's Email Address ionita@math.lsu.edu URN etd-07012004-121750 Title Class Groups and Norms of Units Degree Doctor of Philosophy (Ph.D.) Department Mathematics Advisory Committee
Advisor Name Title Jurgen Hurrelbrink Committee Chair Bogdan Oporowski Committee Member Jerome Hoffman Committee Member Richard Litherland Committee Member Robert Perlis Committee Member Luis Escobar Dean's Representative Keywords
- units with independent signs
- 2-rank formulas
- exact hexagon
Date of Defense 2004-04-30 Availability unrestricted Abstract Our object of study is relative quadratic extensions of algebraic number fields. In 'Class Number Parity', the authors P.E. Conner and J. Hurrelbrink study in detail the cases of real and CM-extensions. In this paper we generalize some of the results without any assumption on the type of the relative quadratic extension.Files
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