Volume 7, issue 1 (2007)

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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

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/