| Abstract: We investigate the Galois group GS(p) of the maximal p-extension unramified outside a finite 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 GS(p) is 'often' isomorphic to the etale cohomology of the scheme Spec(Ok \ S), in particular, GS(p) is of cohomological dimension 2 then. |
Link to Journal, preprint pdf-file kpi1.pdf.
See also the sequel .