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- Superperfect_group abstract "In mathematics, in the realm of group theory, a group is said to be superperfect when its first two homology groups are trivial: H1(G, Z) = H2(G, Z) = 0. This is stronger than a perfect group, which is one whose first homology group vanishes. In more classical terms, a superperfect group is one whose abelianization and Schur multiplier both vanish; abelianization equals the first homology, while the Schur multiplier equals the second homology.".
- Superperfect_group wikiPageID "9915961".
- Superperfect_group wikiPageLength "2496".
- Superperfect_group wikiPageOutDegree "19".
- Superperfect_group wikiPageRevisionID "513499191".
- Superperfect_group wikiPageWikiLink Abelianization.
- Superperfect_group wikiPageWikiLink Acyclic_space.
- Superperfect_group wikiPageWikiLink Binary_icosahedral_group.
- Superperfect_group wikiPageWikiLink Category:Properties_of_groups.
- Superperfect_group wikiPageWikiLink Commutator_subgroup.
- Superperfect_group wikiPageWikiLink Eilenberg-MacLane_space.
- Superperfect_group wikiPageWikiLink Eilenberg–MacLane_space.
- Superperfect_group wikiPageWikiLink Fundamental_group.
- Superperfect_group wikiPageWikiLink Group_(mathematics).
- Superperfect_group wikiPageWikiLink Group_cohomology.
- Superperfect_group wikiPageWikiLink Group_homology.
- Superperfect_group wikiPageWikiLink Group_theory.
- Superperfect_group wikiPageWikiLink Henri_Poincaré.
- Superperfect_group wikiPageWikiLink Homology_sphere.
- Superperfect_group wikiPageWikiLink Mathematics.
- Superperfect_group wikiPageWikiLink Perfect_group.
- Superperfect_group wikiPageWikiLink Projective_linear_group.
- Superperfect_group wikiPageWikiLink Projective_special_linear_group.
- Superperfect_group wikiPageWikiLink Schur_multiplier.
- Superperfect_group wikiPageWikiLink Special_linear_group.
- Superperfect_group wikiPageWikiLink Trivial_group.
- Superperfect_group wikiPageWikiLink Universal_central_extension.
- Superperfect_group wikiPageWikiLinkText "Superperfect group".
- Superperfect_group wikiPageWikiLinkText "superperfect group".
- Superperfect_group wikiPageWikiLinkText "superperfect".
- Superperfect_group hasPhotoCollection Superperfect_group.
- Superperfect_group wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Superperfect_group wikiPageUsesTemplate Template:MathSciNet.
- Superperfect_group subject Category:Properties_of_groups.
- Superperfect_group type Property.
- Superperfect_group comment "In mathematics, in the realm of group theory, a group is said to be superperfect when its first two homology groups are trivial: H1(G, Z) = H2(G, Z) = 0. This is stronger than a perfect group, which is one whose first homology group vanishes. In more classical terms, a superperfect group is one whose abelianization and Schur multiplier both vanish; abelianization equals the first homology, while the Schur multiplier equals the second homology.".
- Superperfect_group label "Superperfect group".
- Superperfect_group sameAs m.02pwyhb.
- Superperfect_group sameAs Q7644098.
- Superperfect_group sameAs Q7644098.
- Superperfect_group wasDerivedFrom Superperfect_group?oldid=513499191.
- Superperfect_group isPrimaryTopicOf Superperfect_group.