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Super-exponential
distortion of subgroups of $\mathrm{CAT}(-1)$ groups
Josh Barnard, Noel Brady and Pallavi Dani |
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Algebraic & Geometric Topology 7 (2007) 301–308
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arXiv: math.GR/0701930 |
Abstract |
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We construct 2–dimensional groups which contain free subgroups with arbitrary iterated exponential distortion, and with distortion higher than any iterated exponential. |
Keywords
distortion, CAT($-1$), hyperbolic
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Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 20F67, 57M20
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References |
Publication
Received: 15 December 2006
Accepted: 18 January 2007
Published: 29 March 2007
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Authors |
| Josh Barnard | |
| Department of Mathematics University of Oklahoma Norman OK 73019 USA |
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| http://www.math.ou.edu/~jbarnard/ | |
| Noel Brady | |
| Department of Mathematics University of Oklahoma Norman OK 73019 USA |
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| http://www.math.ou.edu/~nbrady/ | |
| Pallavi Dani | |
| Department of Mathematics University of Oklahoma Norman OK 73019 USA |
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| http://www.math.ou.edu/~pdani/ | |
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