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arxiv: 0812.1036 · v1 · pith:O2HNIDAEnew · submitted 2008-12-04 · 🧮 math.GR · math.DG· math.GT

Density of isoperimetric spectra

classification 🧮 math.GR math.DGmath.GT
keywords isoperimetricanaloguedensedensityexponentsfinitelygromovgroups
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We show that the set of k-dimensional isoperimetric exponents of finitely presented groups is dense in the interval [1, \infty) for k > 1. Hence there is no higher-dimensional analogue of Gromov's gap (1,2) in the isoperimetric spectrum.

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