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

dc.contributor.advisor	Mihailescu, Preda Prof. Dr.
dc.contributor.author	Crisan, Vlad-Cristian
dc.date.accessioned	2019-03-25T09:10:19Z
dc.date.available	2019-03-25T09:10:19Z
dc.date.issued	2019-03-25
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-002E-E5E1-1
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-7366
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc	510	de
dc.title	The split prime μ-conjecture and further topics in Iwasawa theory	de
dc.type	doctoralThesis	de
dc.contributor.referee	Mihailescu, Preda Prof. Dr.
dc.date.examination	2019-03-04
dc.description.abstracteng	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.	de
dc.contributor.coReferee	Brüdern, Jörg Prof. Dr.
dc.subject.eng	Iwasawa theory	de
dc.identifier.urn	urn:nbn:de:gbv:7-11858/00-1735-0000-002E-E5E1-1-6
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematics (PPN61756535X)	de
dc.identifier.ppn	1666649481

Name:PhD Thesis.pdf

Größe:760.6Kb

Format:PDF