2026-04-17T06:55:45Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/799832025-07-17T09:26:05Zcom_2072_1033col_2072_452950
The automorphism group of a free-by-cyclic group in rank 2
Bogopolski, Oleg
Martino, Armando
Ventura Capell, Enric
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
Free groups
Group theory
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
Let
¡
be an automorphism of a free group
F
2
of rank
2 and let
M
¡
=
F
2
o
¡
Z
be the corresponding mapping torus of
¡
.
We prove that the group
Out
(
M
¡
) is usually virtually cyclic. More-
over, we classify the cases when this group is Ønite depending on the
conjugacy class of the image of
¡
in
GL
2
(
Z
)
Award-winning
Postprint (author's final draft)
2007-05
Article
http://www.informaworld.com/smpp/content~content=a778212731~db=all~order=page
Open Access