# Category:Ambivalent Groups

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This category contains results about Ambivalent Groups.

Let $G$ be a group.

Then $G$ is **ambivalent** if and only if every element of $G$ is conjugate to its inverse:

- $\forall g \in G : \exists h \in G : h g h^{-1} = g^{-1}$

## Pages in category "Ambivalent Groups"

The following 2 pages are in this category, out of 2 total.