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- Title
North-South type dynamics of relative atoroidal automorphisms of free groups on a relative space of currents.
- Authors
Guerch, Yassine
- Abstract
This paper, which is the second of a series of three papers, studies dynamical properties of elements of \operatorname {Out}(F_{\mathtt n}), the outer automorphism group of a nonabelian free group F_{\mathtt n}. We prove that, for every exponentially growing outer automorphism of F_{\mathtt n}, there exists a preferred compact topological space, the space of currents relative to a malnormal subgroup system, on which \phi acts by homeomorphism with a North-South dynamics behavior.
- Subjects
NONABELIAN groups; AUTOMORPHISM groups; AUTOMORPHISMS; TOPOLOGICAL spaces; FREE groups; HOMEOMORPHISMS; COMPACT spaces (Topology)
- Publication
Conformal Geometry & Dynamics, 2023, Vol 27, p161
- ISSN
1088-4173
- Publication type
Article
- DOI
10.1090/ecgd/386