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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…

Properties, Definitions & Overview