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- Perfect_group abstract "In mathematics, more specifically in the area of modern algebra known as group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no nontrivial abelian quotients (equivalently, its abelianization, which is the universal abelian quotient, is trivial). In symbols, a perfect group is one such that G(1) = G (the commutator subgroup equals the group), or equivalently one such that Gab = {1} (its abelianization is trivial).".
- Perfect_group wikiPageExternalLink ?id=rnSE3aoNVY0C.
- Perfect_group wikiPageExternalLink purl?GDZPPN002173409.
- Perfect_group wikiPageID "585271".
- Perfect_group wikiPageLength "8488".
- Perfect_group wikiPageOutDegree "44".
- Perfect_group wikiPageRevisionID "671076630".
- Perfect_group wikiPageWikiLink Abelian_group.
- Perfect_group wikiPageWikiLink Abstract_algebra.
- Perfect_group wikiPageWikiLink Acyclic_space.
- Perfect_group wikiPageWikiLink Algebraic_K-theory.
- Perfect_group wikiPageWikiLink Alternating_group.
- Perfect_group wikiPageWikiLink Binary_icosahedral_group.
- Perfect_group wikiPageWikiLink Category:Lemmas.
- Perfect_group wikiPageWikiLink Category:Properties_of_groups.
- Perfect_group wikiPageWikiLink Center_(group_theory).
- Perfect_group wikiPageWikiLink Central_series.
- Perfect_group wikiPageWikiLink Classification_of_finite_simple_groups.
- Perfect_group wikiPageWikiLink Commutator.
- Perfect_group wikiPageWikiLink Commutator_subgroup.
- Perfect_group wikiPageWikiLink Determinant.
- Perfect_group wikiPageWikiLink Group_(mathematics).
- Perfect_group wikiPageWikiLink Group_cohomology.
- Perfect_group wikiPageWikiLink Group_extension.
- Perfect_group wikiPageWikiLink Group_theory.
- Perfect_group wikiPageWikiLink Mathematics.
- Perfect_group wikiPageWikiLink Normal_subgroup.
- Perfect_group wikiPageWikiLink Projective_linear_group.
- Perfect_group wikiPageWikiLink Quasisimple_group.
- Perfect_group wikiPageWikiLink Quotient_group.
- Perfect_group wikiPageWikiLink Schur.
- Perfect_group wikiPageWikiLink Schur_multiplier.
- Perfect_group wikiPageWikiLink Simple_group.
- Perfect_group wikiPageWikiLink Solvable_group.
- Perfect_group wikiPageWikiLink Special_linear_group.
- Perfect_group wikiPageWikiLink Superperfect_group.
- Perfect_group wikiPageWikiLink Three_subgroups_lemma.
- Perfect_group wikiPageWikiLink X,_Y%5D,_Z%5D_is_followed):.
- Perfect_group wikiPageWikiLink Øystein_Ore.
- Perfect_group wikiPageWikiLink sub%3E_=_Z(G),_and_the_center_of_the_quotient_group_G_xe2x81x84_Z(G)_is_the_%5B%5Btrivial_group.
- Perfect_group wikiPageWikiLinkText "Grün's lemma".
- Perfect_group wikiPageWikiLinkText "Perfect group".
- Perfect_group wikiPageWikiLinkText "Perfect group#Gr.C3.BCn.27s_lemma".
- Perfect_group wikiPageWikiLinkText "perfect group".
- Perfect_group wikiPageWikiLinkText "perfect".
- Perfect_group title "Grün's lemma".
- Perfect_group title "Perfect Group".
- Perfect_group urlname "GruensLemma".
- Perfect_group urlname "PerfectGroup".
- Perfect_group wikiPageUsesTemplate Template:Citation.
- Perfect_group wikiPageUsesTemplate Template:Harv.
- Perfect_group wikiPageUsesTemplate Template:MR.
- Perfect_group wikiPageUsesTemplate Template:MathWorld.
- Perfect_group wikiPageUsesTemplate Template:Refbegin.
- Perfect_group wikiPageUsesTemplate Template:Refend.
- Perfect_group wikiPageUsesTemplate Template:Reflist.
- Perfect_group subject Category:Lemmas.
- Perfect_group subject Category:Properties_of_groups.
- Perfect_group type Diacritic.
- Perfect_group type Lemma.
- Perfect_group type Property.
- Perfect_group type Redirect.
- Perfect_group type Theorem.
- Perfect_group comment "In mathematics, more specifically in the area of modern algebra known as group theory, a group is said to be perfect if it equals its own commutator subgroup, or equivalently, if the group has no nontrivial abelian quotients (equivalently, its abelianization, which is the universal abelian quotient, is trivial). In symbols, a perfect group is one such that G(1) = G (the commutator subgroup equals the group), or equivalently one such that Gab = {1} (its abelianization is trivial).".
- Perfect_group label "Perfect group".
- Perfect_group sameAs Q1571290.
- Perfect_group sameAs Perfekte_Gruppe.
- Perfect_group sameAs Groupe_parfait.
- Perfect_group sameAs חבורה_מושלמת.
- Perfect_group sameAs 완전군.
- Perfect_group sameAs Grupa_doskonała.
- Perfect_group sameAs m.025tm_y.
- Perfect_group sameAs Q1571290.
- Perfect_group sameAs 完滿群.
- Perfect_group wasDerivedFrom Perfect_group?oldid=671076630.
- Perfect_group isPrimaryTopicOf Perfect_group.