Schmidt, Alexander (2007) Rings of integers of type K(pi,1). DOCUMENTA MATHEMATICA, 12. pp. 441-471. ISSN 1431-0643,
Full text not available from this repository.Abstract
We investigate the Galois group G(S)( p) of the maximal p-extension unramified outside a finite set S of primes of a number field in the ( tame) case, when no prime dividing p is in S. We show that the cohomology of G(S)(p) is 'often' isomorphic to the etale cohomology of the scheme Spec(O-k \ S), in particular, G(S)(p) is of cohomological dimension 2 then.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | P-EXTENSIONS; Galois cohomology; restricted ramification; cohomological dimension |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Professoren und akademische Räte im Ruhestand > Prof. Dr. Alexander Schmidt |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 12 Jan 2021 06:46 |
| Last Modified: | 12 Jan 2021 06:51 |
| URI: | https://pred.uni-regensburg.de/id/eprint/33400 |
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