On Greenberg's question: an algebraic and computational approach

Identifier

etd-07072011-104742

Author

David H. Chapman, Louisiana State University and Agricultural and Mechanical CollegeFollow

Degree

Doctor of Philosophy (PhD)

Department

Mathematics

Document Type

Dissertation

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.

Date

2011

Document Availability at the Time of Submission

Release the entire work immediately for access worldwide.

Recommended Citation

Chapman, David H., "On Greenberg's question: an algebraic and computational approach" (2011). LSU Doctoral Dissertations. 462.
https://repository.lsu.edu/gradschool_dissertations/462

Committee Chair

Perlis, Robert

DOI

10.31390/gradschool_dissertations.462