@article{3220038, title = "Translation lengths of outer automorphisms of finitely generated free-by-finite groups", author = "Papavasileiou, I. and Sykiotis, M.", journal = "Communications in Algebra", year = "2022", publisher = "Taylor and Francis Ltd.", issn = "0092-7872, 1532-4125", doi = "10.1080/00927872.2022.2059081", abstract = "Bestvina, Feighn and Handel proved that every subgroup of the outer automorphism group, (Formula presented.) of the free group of rank n is either virtually finitely generated abelian or contains a nonabelian free group. In this note we consider the more general situation of the outer automorphism group (Formula presented.) of a finitely generated free-by-finite group G. We show that (Formula presented.) is translation discrete and that every subgroup of (Formula presented.) is either virtually finitely generated abelian or contains a nonabelian free group. © 2022 Taylor & Francis Group, LLC." }