Title page for ETD etd-0711102-133722


Type of Document Dissertation
Author Kang, Changheon
Author's Email Address ckang@lsu.edu, kang_c@math.lsu.edu
URN etd-0711102-133722
Title Exotic Integral Witt Equivalence of Algebraic Number Fields
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Robert Perlis Committee Chair
George Cochran Committee Member
Jorge Morales Committee Member
Richard A. Litherland Committee Member
William Adkins Committee Member
Ahmed A. El-Amawy Dean's Representative
Keywords
  • witt ring
  • symmetric bilinear form
  • witt equivalence
Date of Defense 2002-07-02
Availability unrestricted
Abstract
Two algebraic number fields K and L are said to be exotically integrally Witt equivalent if there is a ring isomorphism W(OK) ~ W(OL) between the Witt rings of the number rings OK and OL of K and L, respectively. This dissertation studies exotic integral Witt equivalence for totally complex number fields and gives necessary and sufficient conditions for exotic integral equivalence in two special classes of totally complex number fields.
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