Galois Cohomology of Certain Field Extensions and the Divisible Case of Milnor–kato Conjecture

  • LEONID POSITSELSKI
  • Published 2002

Abstract

Let F be a field and m > 2 be an integer not divisible by the characteristic of F . Consider the absolute Galois group GF = Gal(F/F ), where F denotes the (separable) algebraic closure of F . The famous Milnor–Kato conjecture [6, 5] claims that the natural homomorphism of graded rings K n (F )⊗ Z/m −−→ H(GF , μ m ) from the Milnor K-theory of the field F… (More)

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