Statements (14)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
induced modules
|
| gptkbp:describes |
relationship between group cohomology of a group and a subgroup
|
| gptkbp:field |
homological algebra
group cohomology |
| https://www.w3.org/2000/01/rdf-schema#label |
Shapiro lemma
|
| gptkbp:namedAfter |
gptkb:Arnold_Shapiro
|
| gptkbp:publicationYear |
1952
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:sentence |
For a group G, subgroup H, and H-module M, H^n(G, Ind_H^G M) ≅ H^n(H, M) for all n ≥ 0.
|
| gptkbp:usedIn |
gptkb:topology
representation theory |
| gptkbp:bfsParent |
gptkb:Meyer_Shapiro
|
| gptkbp:bfsLayer |
7
|