The image of the map from group cohomology to Galois cohomology

DOI10.1090/S0002-9947-2011-05418-8zbMath1310.11044OpenAlexW1985099262MaRDI QIDQ3020348

Nobuaki Yagita, Michishige Tezuka

Publication date: 4 August 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2011-05418-8

zbMATH Keywords

classifying spacesmotivic cohomologycohomology invariant

Mathematics Subject Classification ID

Galois cohomology (12G05) Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Cohomology theory for linear algebraic groups (20G10) Galois cohomology of linear algebraic groups (11E72)

Related Items

Coniveau filtrations and Milnor operation ⋮ Stable cohomology of alternating groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Cohomology mod 3 of the classifying space BF\(_4\) of thexceptional group F\(_4\)
• Classes de Stiefel-Whitney de formes quadratiques et de représentations galoisiennes réelles
• Noether's problem over an algebraically closed field
• On the Chow rings of classifying spaces for classical groups
• An exact sequence for \(K^M_*/2\) with applications to quadratic forms
• Operations in Milnor \(K\)-theory
• Some spectral sequences for filtered complexes and applications
• On the notion of essential dimension for algebraic groups
• Motivic cohomology with \(\mathbb Z/2\)-coefficients
• Geometric methods for cohomological invariants
• Unramified cohomology of degree 3 and Noether's problem
• Norm varieties
• Algebraic \(K\)-theory and quadratic forms. With an appendix by J. Tate
• The mod 2 cohomology rings of extra-special 2-groups and the spinor groups
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Brown-Peterson and Ordinary Cohomology Theories of Classifying Spaces for Compact Lie Groups
• Unramified Cohomology of Finite Groups of Lie Type
• The varieties of the mod p cohomology rings of extra special p-groups for an odd prime p
• The Chow rings of G 2 and Spin(7)
• Coniveau filtration of cohomology of groups
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Gersten's conjecture and the homology of schemes
• Applications of Atiyah–Hirzebruch spectral sequences for motivic cobordism
• On the cohomology and the Chow ring of the classifying space of PGL p
• The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups 𝑃𝑈(𝑝) and exceptional Lie groups
• Mui invariants and Milnor operations