Super-exponential distortion of subgroups of $\mathrm{CAT}(-1)$ groups

Josh Barnard; Noel Brady; Pallavi Dani

doi:10.2140/agt.2007.7.301

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Home > Journals > Algebr. Geom. Topol. > Volume 7 > Issue 1 > Article

2007 Super-exponential distortion of subgroups of $\mathrm{CAT}(-1)$ groups

Josh Barnard, Noel Brady, Pallavi Dani

Algebr. Geom. Topol. 7(1): 301-308 (2007). DOI: 10.2140/agt.2007.7.301

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Abstract

We construct 2–dimensional $CAT (- 1)$ groups which contain free subgroups with arbitrary iterated exponential distortion, and with distortion higher than any iterated exponential.

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Josh Barnard. Noel Brady. Pallavi Dani. "Super-exponential distortion of subgroups of $\mathrm{CAT}(-1)$ groups." Algebr. Geom. Topol. 7 (1) 301 - 308, 2007. https://doi.org/10.2140/agt.2007.7.301

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Received: 15 December 2006; Accepted: 18 January 2007; Published: 2007

First available in Project Euclid: 20 December 2017

zbMATH: 1187.20055

MathSciNet: MR2308946

Digital Object Identifier: 10.2140/agt.2007.7.301

Subjects:

Primary: 20F65

Secondary: 20F67 , 57M20

Keywords: CAT($-1$) , distortion , Hyperbolic

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Josh Barnard, Noel Brady, Pallavi Dani "Super-exponential distortion of subgroups of $\mathrm{CAT}(-1)$ groups," Algebraic & Geometric Topology, Algebr. Geom. Topol. 7(1), 301-308, (2007)

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