Density of isoperimetric spectra
classification
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math.DGmath.GT
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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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