Title page for ETD etd-0718101-153927


Type of Document Dissertation
Author Somodi, Marius M.
Author's Email Address msomod1@lsu.edu
URN etd-0718101-153927
Title Bounding the Wild Set (Counting the Minimum Number of Wild Primes in Hilbert Symbol Equivalent Number Fields)
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Robert Perlis Committee Chair
Edgar Barry Moser Committee Member
Hui-Hsiung Kuo Committee Member
Jorge Morales Committee Member
Jurgen Hurrelbrink Committee Member
Richard Litherland Committee Member
Jerry Trahan Dean's Representative
Keywords
  • tame prime
  • quadratic form
  • Witt ring
Date of Defense 2001-04-17
Availability unrestricted
Abstract
This dissertation makes a contribution to the study of Witt rings of quadratic forms over number

fields. To every pair of algebraic number fields with isomorphic Witt rings one can associate a

number, called the minimum number of wild primes. The situation is particularly nice when this number is 0; often it is not 0. Earlier investigations have established lower bounds for this number. In this dissertation an analysis is presented that expresses the minimum number of wild primes in terms of the number of wild dyadic primes. This formula not only gives immediate

upper bounds, but can be considered to be an exact formula for the minimum number of wild

primes.

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