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If $H$ is a subgroup of a group $G$, then the normalizer of $H$ is the subgroup \[ N_G(H) = \{ g\in G\mid gHg^{-1} = H\}.\] Equivalently, $N_G(H)$ is the largest subgroup of $G$ containing $H$ in which $H$ is normal.

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  • Review status: reviewed
  • Last edited by Jennifer Paulhus on 2022-07-18 16:55:16
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