Rings of Integers of Type K ( π , 1 )
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چکیده
We investigate the Galois group GS(p) of the maximal pextension 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 GS(p) is ‘often’ isomorphic to the étale cohomology of the scheme Spec(Ok rS), in particular, GS(p) is of cohomological dimension 2 then. 2000 Mathematics Subject Classification: 11R34, 12G10
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تاریخ انتشار 2007