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bn:00665162n
Noun Concept
Categories: Abstract algebra, Lie algebras, Ring theory, All Wikipedia articles written in American English, Group theory
EN
centralizer  commutant  centralizer and normalizer  normalizer  C-closed subgroups
EN
In mathematics, especially group theory, the centralizer of a subset S in a group G is the set C G ⁡ {\displaystyle \operatorname {C} _{G}} of elements of G that commute with every element of S, or equivalently, such that conjugation by g {\displaystyle g} leaves each element of S fixed. Wikipedia
English:
ring theory
Lie algebra
Definitions
Relations
Sources
EN
In mathematics, especially group theory, the centralizer of a subset S in a group G is the set C G ⁡ {\displaystyle \operatorname {C} _{G}} of elements of G that commute with every element of S, or equivalently, such that conjugation by g {\displaystyle g} leaves each element of S fixed. Wikipedia
The set of elements of the same group which commute with the element. See also normalizer. Wiktionary
The subset of all elements of a semigroup that commute with the elements of a given subset. Wiktionary
IS A
subgroup
centralizer
subset
HAS KIND
bicommutant
HAS INSTANCE
centralizer
DIFFERENT FROM
centralizer
commutator subgroup
normalizer
Wikipedia
EN
centralizer and normalizer
Wikidata
EN
centralizer, commutant
Wiktionary
EN
centralizer, commutant
Wikipedia Redirections
EN
C-closed subgroups, C closed subgroup, Centraliser, centralizer, Centralizer & normalizer, commutant, N/C theorem, normaliser, normalizer, self-normalising, self-normalizing, self-normalizing subgroup
Wikidata Alias
EN
centralizer, centralizer subgroup

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