Single-witness QPAC-true group

Definition
A group $$G$$ is termed a single-witness QPAC-true group if there exists a surjective homomorphism of groups $$\varphi:H \to G$$ such that the only automorphisms of $$G$$ that can be pulled back to automorphisms of $$H$$ are inner automorphisms.

Weaker properties

 * Stronger than::QPAC-true group

Related properties

 * EAC-true group
 * Single-witness EAC-true group