On the K(π,1)-property for rings of integers in the mixed case

Details On the K(π,1)-property for rings of integers in the mixed case On the K(π,1)-property for rings of integers in the mixed case

2008-01-14

arxiv.org/abs/0801.2103v1

Mathematics

Number Theory

Scientific paper

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 (mixed) case, when there are primes dividing p inside and outside 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. We deduce this from the results in our previous paper "Rings of integers of type K(\pi,1)" (arXiv:0705.3372), which mainly dealt with the tame case.

Affiliated with

Also associated with

No associations

Rating

On the K(π,1)-property for rings of integers in the mixed case does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the K(π,1)-property for rings of integers in the mixed case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the K(π,1)-property for rings of integers in the mixed case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634588