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p–primary part of the Milnor K–groups and Galois cohomologies of fields of characteristic p

Oleg Izhboldin

Geometry & Topology Monographs 3 (2000) 19–29

DOI: 10.2140/gtm.2000.3.19

arXiv: math.NT/0012133

Abstract

For an arbitrary field p–torsion and cotorsion of the Milnor groups Kn(F) and Knt(F)=Kn(F)/∩l>1 lKn(F) are discussed. The work contains further discussions of an analogue of Satz 90 for Kn(F) and Knt(F) and computation of Hn+1m(F) where F is either the rational function field in one variable F=k(t) or the formal power series F=k((t)).

Keywords

Milnor K–groups, cohomology groups

Mathematical Subject Classification

Primary: 19F99

References
Publication


Published: 10 December 2000

Authors
Oleg Izhboldin
Department of Mathematics
St. Petersburg University
Bibliotechnaya pl. 2
Staryj Petergof
198904 St. Petersburg
Russia