Title page for ETD etd-07072011-104742


Type of Document Dissertation
Author Chapman, David H
URN etd-07072011-104742
Title On Greenberg's Question: An Algebraic and Computational Approach
Degree Doctor of Philosophy (Ph.D.)
Department Mathematics
Advisory Committee
Advisor Name Title
Perlis, Robert Committee Chair
Litherland, Richard Committee Member
Morales, Jorge Committee Member
Oporowski, Bogdan Committee Member
Richardson, Leonard Committee Member
Zhang, Guoping Dean's Representative
Keywords
  • number theory
  • Galois theory
  • Iwasawa theory
Date of Defense 2011-06-28
Availability unrestricted
Abstract
Greenberg asked whether arithmetically equivalent number fields share the same Iwasawa invariants. In this dissertation it is shown that the problem naturally breaks up into four cases, depending on properties of Galois groups. This analysis is then used to give a positive answer to Greenberg’s question in some nontrivial examples.
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