Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
group cohomology
|
| gptkbp:field |
homological algebra
|
| https://www.w3.org/2000/01/rdf-schema#label |
Shapiro's lemma
|
| gptkbp:namedAfter |
gptkb:Arnold_Shapiro
|
| gptkbp:publishedIn |
gptkb:Annals_of_Mathematics
|
| gptkbp:relatedTo |
gptkb:Eckmann–Shapiro_lemma
|
| gptkbp:state |
For a subgroup H of a group G and an H-module M, the cohomology of G with coefficients in the induced module Ind_H^G M is isomorphic to the cohomology of H with coefficients in M.
|
| gptkbp:usedIn |
gptkb:topology
group theory representation theory |
| gptkbp:bfsParent |
gptkb:Norman_Shapiro
|
| gptkbp:bfsLayer |
5
|