On the relation between 2 and ∞ in Galois cohomology of number fields
We remove the assumption 'p≠ 2 or k is totally imaginary' from several well-known theorems on Galois groups with restricted ramification of number fields. For example, we show that the Galois group of the maximal extension of a number field k which is unramified outside 2 has finite cohom...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
September 2002
|
| In: |
Compositio mathematica
Year: 2002, Volume: 133, Issue: 3, Pages: 267-288 |
| ISSN: | 1570-5846 |
| DOI: | 10.1023/A:1020038431624 |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1023/A:1020038431624 Verlag, Volltext: https://www.cambridge.org/core/journals/compositio-mathematica/article/on-the-relation-between-2-and-in-galois-cohomology-of-number-fields/830A3C09ADF616A85098D5B799A9F97A 
|
| Author Notes: | Alexander Schmidt |
| Summary: | We remove the assumption 'p≠ 2 or k is totally imaginary' from several well-known theorems on Galois groups with restricted ramification of number fields. For example, we show that the Galois group of the maximal extension of a number field k which is unramified outside 2 has finite cohomological 2-dimension (also if k has real places). |
|---|---|
| Item Description: | Published online: 04 December 2007 Gesehen am 04.05.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1570-5846 |
| DOI: | 10.1023/A:1020038431624 |