If $G$ is a group and $H$ is a subgroup of $G$, then the **core** of $H$ in $G$ is the subgroup
\[ \textrm{Core}(H) = \bigcap_{g\in G} gHg^{-1}.\]
Equivalently, $\textrm{Core}(H)$ is the largest normal subgroup of $G$ contained in $H$.

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**Knowl status:**

- Review status: beta
- Last edited by John Jones on 2018-07-07 21:33:46

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