If $H$ is a subgroup of a group $G$, the normal closure of $H$ is the smallest normal subgroup of $G$ containing $H$. Alternatively, it is the subgroup generated by the set $$ \bigcup_{g\in G} gHg^{-1}. $$
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- Last edited by John Jones on 2019-06-10 15:54:02
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- 2019-06-10 15:54:02 by John Jones (Reviewed)