Geodesic
Super-exponential distortion of subgroups of CAT(−1) groups
Barnard, Josh1 ; Brady, Noel1 ; Dani, Pallavi1
1Department of Mathematics, University of Oklahoma, Norman OK 73019, USA
Algebraic and Geometric Topology, Tome 7 (2007) no. 1, pp. 301-308
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We construct 2–dimensional CAT(−1) groups which contain free subgroups with arbitrary iterated exponential distortion, and with distortion higher than any iterated exponential.

DOI : 10.2140/agt.2007.7.301
Keywords: distortion, CAT($-1$), hyperbolic

Barnard, Josh  1   ; Brady, Noel  1   ; Dani, Pallavi  1

1 Department of Mathematics, University of Oklahoma, Norman OK 73019, USA 
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Barnard, Josh; Brady, Noel; Dani, Pallavi. Super-exponential distortion of subgroups of CAT(−1) groups. Algebraic and Geometric Topology, Tome 7 (2007) no. 1, pp. 301-308. doi: 10.2140/agt.2007.7.301

[1] M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999)

[2] M Mitra, Cannon–Thurston maps for trees of hyperbolic metric spaces, J. Differential Geom. 48 (1998) 135

[3] D T Wise, Incoherent negatively curved groups, Proc. Amer. Math. Soc. 126 (1998) 957

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