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

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

2000-08-24

arxiv.org/abs/math/0008246v1

Mathematics

Number Theory

Scientific paper

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). (The dvi-file requires the xypic-package)

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