Group having a class-inverting automorphism

Definition
A group having a class-inverting automorphism is a group for which there exists a defining ingredient::class-inverting automorphism: an automorphism that sends every element to an element in the conjugacy class of its inverse.

Stronger properties

 * Weaker than::Ambivalent group
 * Weaker than::Abelian group

Weaker properties

 * Stronger than::Group in which every element is automorphic to its inverse