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- Centralizer_and_normalizer abstract "In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute with each element of S, and the normalizer of S is the set of elements of G that commute with S "as a whole". The centralizer and normalizer of S are subgroups of G, and can provide insight into the structure of G.The definitions also apply to monoids and semigroups.In ring theory, the centralizer of a subset of a ring is defined with respect to the semigroup (multiplication) operation of the ring. The centralizer of a subset of a ring R is a subring of R. This article also deals with centralizers and normalizers in Lie algebra.The idealizer in a semigroup or ring is another construction that is in the same vein as the centralizer and normalizer.".
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- Centralizer_and_normalizer wikiPageLength "9793".
- Centralizer_and_normalizer wikiPageOutDegree "40".
- Centralizer_and_normalizer wikiPageRevisionID "682802314".
- Centralizer_and_normalizer wikiPageWikiLink Abelian_group.
- Centralizer_and_normalizer wikiPageWikiLink Automorphism.
- Centralizer_and_normalizer wikiPageWikiLink Automorphism_group.
- Centralizer_and_normalizer wikiPageWikiLink Bicommutant.
- Centralizer_and_normalizer wikiPageWikiLink C-closed_subgroup.
- Centralizer_and_normalizer wikiPageWikiLink Category:Abstract_algebra.
- Centralizer_and_normalizer wikiPageWikiLink Category:Group_theory.
- Centralizer_and_normalizer wikiPageWikiLink Category:Lie_algebras.
- Centralizer_and_normalizer wikiPageWikiLink Category:Ring_theory.
- Centralizer_and_normalizer wikiPageWikiLink Center_(group_theory).
- Centralizer_and_normalizer wikiPageWikiLink Center_of_a_group.
- Centralizer_and_normalizer wikiPageWikiLink Commutative_property.
- Centralizer_and_normalizer wikiPageWikiLink Commutativity.
- Centralizer_and_normalizer wikiPageWikiLink Commutator.
- Centralizer_and_normalizer wikiPageWikiLink Conjugate_closure.
- Centralizer_and_normalizer wikiPageWikiLink Double_centralizer_theorem.
- Centralizer_and_normalizer wikiPageWikiLink Factor_group.
- Centralizer_and_normalizer wikiPageWikiLink Graduate_Studies_in_Mathematics.
- Centralizer_and_normalizer wikiPageWikiLink Group_(mathematics).
- Centralizer_and_normalizer wikiPageWikiLink Group_action.
- Centralizer_and_normalizer wikiPageWikiLink Group_homomorphism.
- Centralizer_and_normalizer wikiPageWikiLink Group_isomorphism.
- Centralizer_and_normalizer wikiPageWikiLink Group_theory.
- Centralizer_and_normalizer wikiPageWikiLink Ideal_(ring_theory).
- Centralizer_and_normalizer wikiPageWikiLink Idealizer.
- Centralizer_and_normalizer wikiPageWikiLink Inner_automorphism.
- Centralizer_and_normalizer wikiPageWikiLink Lie_algebra.
- Centralizer_and_normalizer wikiPageWikiLink Lie_ring.
- Centralizer_and_normalizer wikiPageWikiLink Monoid.
- Centralizer_and_normalizer wikiPageWikiLink Multipliers_and_centralizers_(Banach_spaces).
- Centralizer_and_normalizer wikiPageWikiLink Normal_subgroup.
- Centralizer_and_normalizer wikiPageWikiLink Quotient_group.
- Centralizer_and_normalizer wikiPageWikiLink Ring_(mathematics).
- Centralizer_and_normalizer wikiPageWikiLink Ring_theory.
- Centralizer_and_normalizer wikiPageWikiLink Semigroup.
- Centralizer_and_normalizer wikiPageWikiLink Stabilizer_subgroup.
- Centralizer_and_normalizer wikiPageWikiLink Subgroup.
- Centralizer_and_normalizer wikiPageWikiLink Subsemigroup.
- Centralizer_and_normalizer wikiPageWikiLink Subset.
- Centralizer_and_normalizer wikiPageWikiLinkText "Centralizer and normalizer".
- Centralizer_and_normalizer wikiPageWikiLinkText "Centralizer and normalizer#Properties".
- Centralizer_and_normalizer wikiPageWikiLinkText "Centralizer and normalizer#self-normalizing subgroup".
- Centralizer_and_normalizer wikiPageWikiLinkText "Centralizers".
- Centralizer_and_normalizer wikiPageWikiLinkText "centralizer and normalizer".
- Centralizer_and_normalizer wikiPageWikiLinkText "centralizer of a subring".
- Centralizer_and_normalizer wikiPageWikiLinkText "centralizer".
- Centralizer_and_normalizer wikiPageWikiLinkText "centralizers".
- Centralizer_and_normalizer wikiPageWikiLinkText "normalises".
- Centralizer_and_normalizer wikiPageWikiLinkText "normalizer".
- Centralizer_and_normalizer wikiPageWikiLinkText "normalizers".
- Centralizer_and_normalizer hasPhotoCollection Centralizer_and_normalizer.
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- Centralizer_and_normalizer subject Category:Abstract_algebra.
- Centralizer_and_normalizer subject Category:Group_theory.
- Centralizer_and_normalizer subject Category:Lie_algebras.
- Centralizer_and_normalizer subject Category:Ring_theory.
- Centralizer_and_normalizer hypernym Set.
- Centralizer_and_normalizer type Article.
- Centralizer_and_normalizer type Algebra.
- Centralizer_and_normalizer type Article.
- Centralizer_and_normalizer comment "In mathematics, especially group theory, the centralizer (also called commutant) of a subset S of a group G is the set of elements of G that commute with each element of S, and the normalizer of S is the set of elements of G that commute with S "as a whole".".
- Centralizer_and_normalizer label "Centralizer and normalizer".
- Centralizer_and_normalizer sameAs Zentralisator.
- Centralizer_and_normalizer sameAs Centralisateur.
- Centralizer_and_normalizer sameAs Centralizzatore.
- Centralizer_and_normalizer sameAs 中心化群と正規化群.
- Centralizer_and_normalizer sameAs 중심화_부분군.
- Centralizer_and_normalizer sameAs Centralisator.
- Centralizer_and_normalizer sameAs Centralizator_i_normalizator.
- Centralizer_and_normalizer sameAs m.012jdg.
- Centralizer_and_normalizer sameAs Централизатор_и_нормализатор.
- Centralizer_and_normalizer sameAs Q190629.
- Centralizer_and_normalizer sameAs Q190629.
- Centralizer_and_normalizer sameAs 中心化子和正规化子.
- Centralizer_and_normalizer wasDerivedFrom Centralizer_and_normalizer?oldid=682802314.
- Centralizer_and_normalizer isPrimaryTopicOf Centralizer_and_normalizer.