Tate's theorem on the Galois cohomology of profinite groups
GPTKB entity
Statements (18)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:author |
gptkb:John_Tate
|
| gptkbp:concerns |
gptkb:Galois_cohomology
profinite groups |
| gptkbp:field |
gptkb:Galois_cohomology
algebraic number theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tate's theorem on the Galois cohomology of profinite groups
|
| gptkbp:implies |
duality theorems in Galois cohomology
|
| gptkbp:namedAfter |
gptkb:John_Tate
|
| gptkbp:publicationYear |
1962
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:global_class_field_theory
gptkb:Poitou–Tate_duality gptkb:Tate_duality local class field theory |
| gptkbp:state |
For a finite Galois module M and a profinite group G, the cohomology groups H^n(G, M) vanish for n < 0 and n > 2 if G is a Galois group of a local or global field.
|
| gptkbp:bfsParent |
gptkb:John_Torrence_Tate
|
| gptkbp:bfsLayer |
6
|