Galois cohomology of a $p$-adic field via $(Φ,Γ)$-modules in the imperfect residue field case
Abstract
Description
For a $p$-adic local field $K$ with perfect residue field, L. Herr constructed a complex which computes the Galois cohomology of a $p$-torsion representation of the absolute Galois group of $K$ by using the theory of $(Φ,Γ)$-modules. We shall generalize his work to the imperfect residue field (the residue field has a finite $p$-basis) case.
18 pages, LaTeX, to appear in J. Math. Sci. Univ. Tokyo
18 pages, LaTeX, to appear in J. Math. Sci. Univ. Tokyo