Category:Weakly Pronormal Subgroups
Jump to navigation
Jump to search
This category contains results about Weakly Pronormal Subgroups.
Definitions specific to this category can be found in Definitions/Weakly Pronormal Subgroups.
$H$ is weakly pronormal in $G$ if and only if:
- $\forall g \in G: \exists x \in H^{\gen g}: H^x = H^g$
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 $g$
- $H^x$ denotes the conjugate of $H$ by $x$.
This category currently contains no pages or media.