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2003 Weak corestriction principle for non-abelian Galois cohomology
Nguyêñ Quôć Thăńg
Homology Homotopy Appl. 5(1): 219-249 (2003).

Abstract

We introduce the notion of (Weak) Corestriction Principle and prove some relations between the validity of this principle for various connecting maps in non-abelian Galois cohomology over fields of characteristic 0. We also prove the validity of Weak Corestriction Principle for images of coboundary maps $\rm{H}^1(k,G) \to \rm{H}^2(k,T)$, where $T$ is a finite commutative $k$-group of multiplicative type, $G$ is adjoint, semisimple and contains only almost simple factors of certain inner types.

Citation

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Nguyêñ Quôć Thăńg. "Weak corestriction principle for non-abelian Galois cohomology." Homology Homotopy Appl. 5 (1) 219 - 249, 2003.

Information

Published: 2003
First available in Project Euclid: 13 February 2006

zbMATH: 1065.11021
MathSciNet: MR2006400

Subjects:
Primary: 11E72
Secondary: 18G50 , 20G10

Rights: Copyright © 2003 International Press of Boston

Vol.5 • No. 1 • 2003
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