Tate cohomology

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:cohomology_theory
gptkbp:appliesTo finite groups
gptkbp:combines group cohomology and group homology
gptkbp:definedIn finite group G and G-module M
gptkbp:field gptkb:algebra
gptkb:mathematics
homological algebra
gptkbp:generalizes group cohomology
group homology
gptkbp:hasGrading integer grading
https://www.w3.org/2000/01/rdf-schema#label Tate cohomology
gptkbp:introduced gptkb:John_Tate
gptkbp:introducedIn 1952
gptkbp:namedAfter gptkb:John_Tate
gptkbp:notation \\hat{H}^n(G, M)
gptkbp:relatedTo gptkb:Galois_cohomology
group extensions
gptkbp:usedFor algebraic number theory
representation theory
class field theory
gptkbp:usedIn group cohomology
gptkbp:bfsParent gptkb:John_Tate
gptkbp:bfsLayer 4