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Shapiro's lemma

In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to extensions over another, especially the group ring of a group and of a subgroup. It thus relates the group cohomology with…

Statement for rings, Statement for group rings & Statement for group cohomology

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Statement for rings

Statement for group rings

Statement for group cohomology

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Shapiro's lemma

Nodes28
Edges27
Triples7
Avg. degree1.93
Density0.071429
Components1

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Shapiro's lemma

Top relations

related to Statement for group cohomology · 7
Shapiro's lemma → For NG, Hom, Let, NG, Shapiro's, Similarly, Specializing

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Important terminology

cohomology group subgroup lemma see also mathematics left shapiro's eckmann ring r-module representation cambridge algebra homological shapiro relates isbn mr

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Shapiro's lemmarelated to Statement for group cohomologySpecializing0.60section
Shapiro's lemmarelated to Statement for group cohomologyShapiro's0.60section
Shapiro's lemmarelated to Statement for group cohomologyLet0.60section
Shapiro's lemmarelated to Statement for group cohomologyFor NG0.60section
Shapiro's lemmarelated to Statement for group cohomologySimilarly0.60section
Shapiro's lemmarelated to Statement for group cohomologyNG0.60section
Shapiro's lemmarelated to Statement for group cohomologyHom0.60section

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