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arxiv: math/0701930 · v1 · pith:HS5AEPUGnew · submitted 2007-01-31 · 🧮 math.GR · math.GT

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

classification 🧮 math.GR math.GT
keywords distortionexponentialgroupsiteratedsubgroupsarbitraryconstructcontain
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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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