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

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

2007-01-31

arxiv.org/abs/math/0701930v1

Mathematics

Group Theory

6 pages, 3 figures

Scientific paper

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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