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- Shapiros_lemma abstract "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 respect to a group to the cohomology with respect to a subgroup. Shapiro's lemma is named after Arnold Shapiro, who proved it in 1961; however, Beno Eckmann had discovered it earlier, in 1953.".
- Shapiros_lemma wikiPageID "18665459".
- Shapiros_lemma wikiPageLength "4597".
- Shapiros_lemma wikiPageOutDegree "23".
- Shapiros_lemma wikiPageRevisionID "638708805".
- Shapiros_lemma wikiPageWikiLink Abstract_algebra.
- Shapiros_lemma wikiPageWikiLink Beno_Eckmann.
- Shapiros_lemma wikiPageWikiLink Cambridge_University_Press.
- Shapiros_lemma wikiPageWikiLink Category:Homological_algebra.
- Shapiros_lemma wikiPageWikiLink Category:Lemmas.
- Shapiros_lemma wikiPageWikiLink Category:Representation_theory.
- Shapiros_lemma wikiPageWikiLink Group_(mathematics).
- Shapiros_lemma wikiPageWikiLink Group_cohomology.
- Shapiros_lemma wikiPageWikiLink Group_ring.
- Shapiros_lemma wikiPageWikiLink Hom_functor.
- Shapiros_lemma wikiPageWikiLink Index_of_a_subgroup.
- Shapiros_lemma wikiPageWikiLink Induced_representation.
- Shapiros_lemma wikiPageWikiLink Mathematics.
- Shapiros_lemma wikiPageWikiLink Princeton_University_Press.
- Shapiros_lemma wikiPageWikiLink Restricted_representation.
- Shapiros_lemma wikiPageWikiLink Ring_homomorphism.
- Shapiros_lemma wikiPageWikiLink Subgroup.
- Shapiros_lemma wikiPageWikiLink Tensor_product.
- Shapiros_lemma wikiPageWikiLinkText "Eckmann–Shapiro lemma".
- Shapiros_lemma wikiPageWikiLinkText "Shapiro's lemma".
- Shapiros_lemma wikiPageUsesTemplate Template:Citation.
- Shapiros_lemma wikiPageUsesTemplate Template:Harv.
- Shapiros_lemma wikiPageUsesTemplate Template:Neukirch_et_al._CNF.
- Shapiros_lemma wikiPageUsesTemplate Template:Reflist.
- Shapiros_lemma wikiPageUsesTemplate Template:Weibel_IHA.
- Shapiros_lemma subject Category:Homological_algebra.
- Shapiros_lemma subject Category:Lemmas.
- Shapiros_lemma subject Category:Representation_theory.
- Shapiros_lemma type Field.
- Shapiros_lemma comment "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 respect to a group to the cohomology with respect to a subgroup.".
- Shapiros_lemma label "Shapiro's lemma".
- Shapiros_lemma sameAs Q7489282.
- Shapiros_lemma sameAs m.04gqty5.
- Shapiros_lemma sameAs Q7489282.
- Shapiros_lemma wasDerivedFrom Shapiros_lemma?oldid=638708805.
- Shapiros_lemma isPrimaryTopicOf Shapiros_lemma.