# Category:Weakly Abnormal Subgroups

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This category contains results about Weakly Abnormal Subgroups.

Definitions specific to this category can be found in Definitions/Weakly Abnormal Subgroups.

$H$ is **weakly abnormal in $G$** if and only if:

- $\forall g \in G: g \in H^{\gen g}$

where $H^{\gen g}$ denotes the smallest subgroup of $G$ containing $H$, generated by the conjugacy action by the cyclic subgroup of $G$ generated by $g$.

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