Title page for ETD etd-07012004-121750


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.
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