Density of isoperimetric spectra

Details Density of isoperimetric spectra Density of isoperimetric spectra

2008-12-04

arxiv.org/abs/0812.1036v1

Mathematics

Group Theory

34 pages, 3 figures

Scientific paper

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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