Journal of Mathematics of Kyoto University

On Corestriction Principle in non abelian galois cohomology over local and global fields

Nguyêñ Quôć Thǎńg

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Abstract

In this paper we prove that over local or global fields of characteristic 0, the Corestriction Principle holds for kernel and image of all maps which are connecting maps in group cohomology which extends an earlier result due to Deligne and can be considered as cohomological counterpart to a result of Lenstra and Tate.

Article information

Source
J. Math. Kyoto Univ., Volume 42, Number 2 (2002), 287-304.

Dates
First available in Project Euclid: 14 August 2009

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1250283871

Digital Object Identifier
doi:10.1215/kjm/1250283871

Mathematical Reviews number (MathSciNet)
MR1966838

Zentralblatt MATH identifier
1151.11322

Subjects
Primary: 11E72: Galois cohomology of linear algebraic groups [See also 20G10]
Secondary: 20G10: Cohomology theory

Citation

Thǎńg, Nguyêñ Quôć. On Corestriction Principle in non abelian galois cohomology over local and global fields. J. Math. Kyoto Univ. 42 (2002), no. 2, 287--304. doi:10.1215/kjm/1250283871. https://projecteuclid.org/euclid.kjm/1250283871


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