MathGloss

Let $G$ be a semigroup and let $S$ be a subset of $G$. The normalizer of $S$ is $$C_G(S) = \{g\in G\mid gS=Sg\}.$$ When $G$ is a group, this may be written equivalently as $$C_G(S) = \{g\in G\mid gSg^{-1}\}.$$

Wikidata ID: Q1761121

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