On Greenberg's question: an algebraic and computational approach

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.

Name thesis:degree_name

Doctor of Philosophy (PhD)

Level thesis:degree_level

Dissertation

Discipline thesis:degree_discipline

Applied Mathematics

Grantor

Mathematics

Year dc:date.available

2011

Author dc:creator

• Chapman, David H

• number theory
• Galois theory
• Iwasawa theory

Statement dc:rights

• unrestricted
• Release the entire work immediately for access worldwide.

Identifier

etd-07072011-104742
https://repository.lsu.edu/gradschool_dissertations/462

OAI identifier oai:identifier

oai:repository.lsu.edu:gradschool_dissertations-1461