Invitation to higher local fields, Part I, section 2: p-primary part of the Milnor K-groups and Galois cohomology of fields of characteristic p

Details Invitation to higher local fields, Part I, section 2: p-primary part of the Milnor K-groups and Galois cohomology of fields of characteristic p Invitation to higher local fields, Part I, section 2: p-primary part of the Milnor K-groups and Galois cohomology of fields of characteristic p

2000-12-18

arxiv.org/abs/math/0012133v1

Geom. Topol. Monogr. Volume 3(2000) 19-29

Mathematics

Number Theory

For introduction and notation, see math.NT/0012131 . Published by Geometry and Topology Monographs at http://www.maths.warwi

Scientific paper

For an arbitrary field p-torsion and cotorsion of the Milnor groups K_n(F)
and K_n^{t}(F)=K_n(F)/\cap_{l\ge1} lK_n(F) are discussed. The work contains
further discussions of an analogue of Satz 90 for K_n(F) and K_n^{t}(F) and
computation of H^{n+1}_m(F) where F is either the rational function field in
one variable F=k(t) or the formal power series F=k((t)).

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