Category:Weakly Abnormal Subgroups

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 $g$.