Let GGG be a semigroup and let SSS be a subset of GGG. The centralizer of SSS is CG(S)={g∈G∣gs=sg for all s∈S}.C_G(S) = \{g\in G\mid gs=sg \text{ for all } s\in S\}.CG(S)={g∈G∣gs=sg for all s∈S}. When GGG is a group, we can also say CG(S)={g∈G∣gsg−1=s for all s∈S}.C_G(S) = \{g\in G\mid gsg^{-1} =s \text{ for all } s\in S\}.CG(S)={g∈G∣gsg−1=s for all s∈S}.
Wikidata ID: Q190629