Geodesic
Stability in Outer space
Ursula Hamenstädt1 orcid ; Sebastian Hensel1 orcid
1Universität Bonn, Germany
Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 359-398

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DOI

We characterize strongly Morse quasi-geodesics in Outer space as quasi-geodesics which project to quasi-geodesics in the free factor graph. We define convex cocompact subgroups of Out(Fn​) as subgroups such that an orbit map in the free factor graph is a quasi-isometric embedding, and we characterize such groups via their action on Outer space in a way which resembles the characterization of convex cocompact subgroups of mapping class groups.
DOI : 10.4171/ggd/445
Classification : 20-XX
Mots-clés : Outer space, lines of minima, strongly Morse coarse geodesics, convex cocompact subgroups

Ursula Hamenstädt  1   ; Sebastian Hensel  1

1 Universität Bonn, Germany 
Ursula Hamenstädt; Sebastian Hensel. Stability in Outer space. Groups, geometry, and dynamics, Tome 12 (2018) no. 1, pp. 359-398. doi: 10.4171/ggd/445
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     title = {Stability in {Outer} space},
     journal = {Groups, geometry, and dynamics},
     pages = {359--398},
     year = {2018},
     volume = {12},
     number = {1},
     doi = {10.4171/ggd/445},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/445/}
}
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