| Abstract: We investigate the Galois group GS(p) of the maximal p-extension unramified outside a finite set S of primes of a number field in the (mixed) case, when there are primes dividing p inside and outside S. We show that the cohomology of GS(p) is 'often' isomorphic to the étale cohomology of the scheme Spec(Ok \ S), in particular, GS(p) is of cohomological dimension 2 then. We deduce this from the results in our previous paper, which mainly dealt with the tame case. |
pdf-file schmidt-bessatsu.pdf.