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  "body": "\n## Summary\n\nIn mathematics, in the field of group theory, a [[subgroup|0X1JXT47GA]] of a group is said to be **transitively normal** in the group if every [[normal subgroup|0CB0DX5BVV]] of the subgroup is also normal in the whole group. In symbols, $H$ is a transitively normal subgroup of $G$ if for every $K$ normal in $H$, we have that $K$ is normal in $G$.\n",
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