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

2000/08/24 by Schmidt, Alexander
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.math/0008246

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

Related

• Field theory and the Cohomology of Some Galois Groups
• Unramified 2-extensions of totally imaginary number fields and 2-adic analytic groups
• The unramified inverse Galois problem and cohomology rings of totally imaginary number fields
• On counting totally imaginary number fields
• On the second partial Global Euler-Poincare characteristics for Galois cohomology