The automorphism group of a free-by-cyclic groups in rank 2

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dc.creatorBogopolski, O.
dc.creatorMartino, A.
dc.creatorVentura, E.
dc.date2006-02-15
dc.date.accessioned2026-07-07T07:03:27Z
dc.date.available2026-07-07T07:03:27Z
dc.descriptionLet $ϕ$ be an automorphism of a free group $F_n$ of rank $n$, and let $M_ϕ=F_n \rtimes_ϕ \mathbb{Z}$ be the corresponding mapping torus of $ϕ$. We study the group $Out(M_ϕ)$ under certain technical conditions on $ϕ$. Moreover, in the case of rank 2, we classify the cases when this group is finite or virtually cyclic, depending on the conjugacy class of the image of $ϕ$ in $GL_2(\mathbb{Z})$.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0602327
dc.identifierhttp://arxiv.org/abs/math/0602327
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/108978
dc.subjectGroup Theory
dc.subject20E06; 20E36
dc.titleThe automorphism group of a free-by-cyclic groups in rank 2
dc.typetext

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