Super-exponential distortion of subgroups of CAT(−1) groups

Barnard, Josh; Brady, Noel; Dani, Pallavi

doi:10.2140/agt.2007.7.301

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

Josh Barnard, Noel Brady and Pallavi Dani

Algebraic & Geometric Topology 7 (2007) 301–308

DOI: 10.2140/agt.2007.7.301

arXiv: math.GR/0701930

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.

Keywords

distortion, CAT($-1$), hyperbolic

Mathematical Subject Classification 2000

Primary: 20F65

Secondary: 20F67, 57M20

References

Publication

Received: 15 December 2006

Accepted: 18 January 2007

Published: 29 March 2007

Authors

Josh Barnard
Department of Mathematics University of Oklahoma Norman OK 73019 USA
http://www.math.ou.edu/~jbarnard/
Noel Brady
Department of Mathematics University of Oklahoma Norman OK 73019 USA
http://www.math.ou.edu/~nbrady/
Pallavi Dani
Department of Mathematics University of Oklahoma Norman OK 73019 USA
http://www.math.ou.edu/~pdani/

Volume 7, issue 1 (2007)