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.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    Somodi_dis.pdf 289.43 Kb 00:01:20 00:00:41 00:00:36 00:00:18 00:00:01

If you have questions or technical problems, please Contact LSU-ETD Support.