Alexander Schmidt:

On the relation between 2 and ∞ in Galois cohomology of number fields

       Author: Alexander Schmidt
       Title: On the relation between 2 and ∞ in Galois cohomology of number fields
       Year: 2000/2001
       In: Compos. Math. 131 (2002), 1--22

         Preprint (ver. June 13, 2001) pdf-file two-inf.pdf 


      Abstract: We remove the assumption "let p be odd or k totally imaginary" from several well-known theorems in Galois cohomology of number fields. For example, we show that the Galois group of the maximal extension of a number field k which is unramified outside 2 has a finite cohomological 2-dimension (also if k has real places).

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