Daciberg GonÃ§alves Parameswaran Sankaran Peter Wong

09-01-2020

Let (Formula presented.) be an automorphism of a group which is a free product of finitely many groups each of which is freely indecomposable and two of the factors contain proper finite index charact..

Let (Formula presented.) be an automorphism of a group which is a free product of finitely many groups each of which is freely indecomposable and two of the factors contain proper finite index characteristic subgroups. We show that G has infinitely many (Formula presented.) -twisted conjugacy classes. As an application, we show that if G is the fundamental group of a three-manifold that is not irreducible, then G has property (Formula presented.) that is, there are infinitely many (Formula presented.) -twisted conjugacy classes in G for every automorphism (Formula presented.) of G.