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arXiv · 0812.1036

Density of isoperimetric spectra

Noel Brady·Max Forester
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Abstract

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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Noel Brady, Max Forester. 2008-12-04. Density of isoperimetric spectra. https://doi.org/10.2140/gt.2010.14.435

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