The split prime μ-conjecture and further topics in Iwasawa theory

by Vlad-Cristian Crisan
Doctoral thesis
Date of Examination:2019-03-04
Date of issue:2019-03-25
Advisor:Prof. Dr. Preda Mihailescu
Referee:Prof. Dr. Preda Mihailescu
Referee:Prof. Dr. Jörg Brüdern
Persistent Address: http://dx.doi.org/10.53846/goediss-7366

 

 

Files in this item

Name:PhD Thesis.pdf
Size:760.Kb
Format:PDF

The following license files are associated with this item:

Abstract

English

The thesis is divided in three independent chapters, each focused on a different problem in Iwasawa theory. In Chapter 1 we prove the split prime μ-conjecture for abelian extensions of imaginary quadratic fields. In Chapter 2 we prove that whenever Greenberg's conjecture holds, there exists an isomorphism behind the class number formula for cyclotomic fields. In Chapter 3 we prove that the Leopoldt defect of a totally real number field can be encoded by a group of ideal classes and we study the structure of this group.
Keywords: Iwasawa theory
 
Statistik