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Centralizer and normalizer

In mathematics, especially group theory, the centralizer (also called commutant) of a subset S in a group G is the set C G ⁡ ( S ) {\displaystyle \operatorname {C} _{G}(S)} of elements of G that commute with every element of S, or equivalently, the set of elements g ∈ G {\displaystyle g\in G} such that conjugation by g {\displaystyle g} leaves each…

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Centralizer and normalizer

Nodes39
Edges38
Triples20
Avg. degree1.95
Density0.051282
Components1

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Centralizer and normalizer

Top relations

related to Groups · 20
Centralizer and normalizer → Aut, Bij, By, C-closed, CG, Clearly, Containment, For, G/Z, If, In, Inn, Lie, N/C, NG, Since NG, Source, The, Tx, Weyl

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Important terminology

displaystyle centralizer group lie normalizer ring cg subset set subgroup also ng elements algebra semigroup element defined centralizers conjugation mathfrak

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Centralizer and normalizerrelated to GroupsSource0.60section
Centralizer and normalizerrelated to GroupsThe0.60section
Centralizer and normalizerrelated to GroupsClearly0.60section
Centralizer and normalizerrelated to GroupsCG0.60section
Centralizer and normalizerrelated to GroupsNG0.60section
Centralizer and normalizerrelated to GroupsIn0.60section
Centralizer and normalizerrelated to GroupsBij0.60section
Centralizer and normalizerrelated to GroupsWeyl0.60section
Centralizer and normalizerrelated to GroupsLie0.60section
Centralizer and normalizerrelated to GroupsContainment0.60section
Centralizer and normalizerrelated to GroupsIf0.60section
Centralizer and normalizerrelated to GroupsFor0.60section

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