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

von Vlad-Cristian Crisan
Dissertation
Datum der mündl. Prüfung:2019-03-04
Erschienen:2019-03-25
Betreuer:Prof. Dr. Preda Mihailescu
Gutachter:Prof. Dr. Preda Mihailescu
Gutachter:Prof. Dr. Jörg Brüdern
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-7366

 

 

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Name:PhD Thesis.pdf
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Zusammenfassung

Englisch

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
 
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