Statements (24)
| 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 | 
| 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 gptkb:John_T._Tate | 
| gptkbp:bfsLayer | 5 | 
| https://www.w3.org/2000/01/rdf-schema#label | Tate cohomology |