Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:cohomology_theory
|
| gptkbp:appliesTo |
finite groups
|
| gptkbp:citation |
Tate, J. (1952). The higher dimensional cohomology groups of class field theory.
|
| gptkbp:definedIn |
finite group G and G-module M
|
| gptkbp:extendsTo |
group cohomology to negative degrees
group homology to negative degrees |
| gptkbp:field |
gptkb:algebra
gptkb:mathematics homological algebra |
| gptkbp:generalizes |
group cohomology
group homology |
| gptkbp:hasProperty |
periodicity for cyclic groups
|
| https://www.w3.org/2000/01/rdf-schema#label |
Tate cohomology groups
|
| gptkbp:introduced |
gptkb:John_Tate
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:notation |
\\hat{H}^n(G, M)
|
| gptkbp:relatedTo |
gptkb:Galois_cohomology
class field theory |
| gptkbp:usedIn |
gptkb:topology
number theory representation theory |
| gptkbp:bfsParent |
gptkb:Tate's_theorem_on_the_Galois_cohomology_of_finite_groups
|
| gptkbp:bfsLayer |
7
|