Geodesic
Hyperbolic extensions of free groups from atoroidal ping-pong
Uyanik, Caglar1
1 Department of Mathematics, Yale University, New Haven, CT, United States
Algebraic and Geometric Topology, Tome 19 (2019) no. 3, pp. 1385-1411

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove that all atoroidal automorphisms of Out(FN) act on the space of projectivized geodesic currents with generalized north–south dynamics. As an application, we produce new examples of nonvirtually cyclic, free and purely atoroidal subgroups of Out(FN) such that the corresponding free group extension is hyperbolic. Moreover, these subgroups are not necessarily convex cocompact.

DOI : 10.2140/agt.2019.19.1385
Classification : 20F28, 20F67, 37D40
Keywords: free groups, hyperbolic extensions, $\mathrm{Out}(F_N)$, geodesic currents

Uyanik, Caglar 1

1 Department of Mathematics, Yale University, New Haven, CT, United States 
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Uyanik, Caglar. Hyperbolic extensions of free groups from atoroidal ping-pong. Algebraic and Geometric Topology, Tome 19 (2019) no. 3, pp. 1385-1411. doi: 10.2140/agt.2019.19.1385

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