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There is only one gap in the isoperimetric spectrum (2000)

Brady, N. ; Bridson, M.R.

Springer

Geometric and functional analysis 10 (2000), S. 1053-1070

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ISSN: 1420-8970

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract. The closure of the set of isoperimetric exponents for finitely presented groups is $ \{1\} \cup [2,\infty $ . For each pair of positive integers $ p \ge q $ , one can construct groups with aspherical presentations for which the Dehn function is $ \simeq n^{2\alpha} $ , where $ \alpha\,=\{\rm log}_{2}(2p/q) $ .

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/PL00001646

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