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.
| Author: | Theresa KumpitschGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-706161 |
| DOI: | https://doi.org/10.21248/gups.70616 |
| Place of publication: | Frankfurt am Main |
| Referee: | Jakob StixORCiDGND, Annette WernerGND |
| Document Type: | Doctoral Thesis |
| Language: | English |
| 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 |
| HeBIS-PPN: | 500923574 |
| Institutes: | Informatik und Mathematik |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Sammlungen: | Universitätspublikationen |
| Licence (German): |  Deutsches Urheberrecht |
