Doctor of Philosophy (PhD)
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.
Document Availability at the Time of Submission
Release the entire work immediately for access worldwide.
Chapman, David H., "On Greenberg's question: an algebraic and computational approach" (2011). LSU Doctoral Dissertations. 462.