TY - JOUR
TI - Translation lengths of outer automorphisms of finitely generated free-by-finite groups
AU - Papavasileiou, I.
AU - Sykiotis, M.
JO - Communications in Algebra
PY - 2022
VL - null
TODO - null
SP - null
PB - Taylor and Francis Ltd.
SN - 0092-7872, 1532-4125
TODO - 10.1080/00927872.2022.2059081
TODO - null
TODO - 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.
ER -