Communications in Algebra
Department or Program
free product of groups, three-manifolds, Twisted conjugacy
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.
Goncalves, D., Sankaran, P. and Wong, P. 2020. "Twisted conjugacy in free products." Communications in Algebra. 48(9): 3916-3921. https://doi.org/10.1080/00927872.2020.1751848
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Required Publisher's Statement
This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Algebra on 25 Mar 2020, available at: https://doi.org/10.1080/00927872.2020.1751848.