# Category:Abnormal Subgroups

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This category contains results about **Abnormal Subgroups**.

Let $G$ be a group.

Let $H$ be a subgroup of $G$.

Then $H$ is an **abnormal subgroup** if and only if:

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

where $\gen {H, H^g}$ is the subgroup of $G$ generated by $H$ and the conjugate of $H$ by $g$.

## Pages in category "Abnormal Subgroups"

This category contains only the following page.