Outer automorphisms of the absolute Galois group of local fields of mixed characteristic

  • In this thesis we discuss the group Out(Gal_K) of outer automorphism of the absolute Galois group Gal_K of a p-adic number field K. Using results about the mapping class group of a surface S, as well as a result by Jannsen--Wingberg on the structure of the absolute Galois group Gal_K, we construct a large subgroup of Out(Gal_K) arising as images of certain Dehn twists on S.

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Author:Theresa KumpitschGND
Place of publication:Frankfurt am Main
Referee:Jakob StixGND, Annette WernerGND
Document Type:Doctoral Thesis
Date of Publication (online):2022/10/18
Year of first Publication:2022
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Granting Institution:Johann Wolfgang Goethe-Universität
Date of final exam:2022/10/17
Release Date:2022/10/31
Tag:Algebraic number theory; Anabelian Geometry; Demuškin groups
Page Number:131
Institutes:Informatik und Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
Licence (German):License LogoDeutsches Urheberrecht