Τίτλος:
Translation lengths of outer automorphisms of finitely generated free-by-finite groups
Γλώσσες Τεκμηρίου:
Αγγλικά
Περίληψη:
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.
Συγγραφείς:
Papavasileiou, I.
Sykiotis, M.
Περιοδικό:
Communications in Algebra
Εκδότης:
Taylor and Francis Ltd.
DOI:
10.1080/00927872.2022.2059081
