Generalized Hopfian property, minimal Haken manifold, and J. Simon's conjecture for 3-manifold groups

Alan W. Reid, Shicheng Wang, Qing Zhou

We address a conjecture that ${\pi }_1$-surjective maps between closed aspherical 3-manifolds having the same rank on ${\pi }_1$ must be of non-zero degree. The conjecture is proved for Seif…