There is only one gap in the isoperimetric spectrum
The closure of the set of isoperimetric exponents for finitely presented groups is {1} ∪ [2, ∞). For each pair of positive integers p ≥ q, one can construct groups with aspherical presentations for which the Dehn function is ≃ n2α, where α = log2(2p/q).
| Principais autores: | , |
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| Formato: | Journal article |
| Idioma: | English |
| Publicado em: |
2000
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| Resumo: | The closure of the set of isoperimetric exponents for finitely presented groups is {1} ∪ [2, ∞). For each pair of positive integers p ≥ q, one can construct groups with aspherical presentations for which the Dehn function is ≃ n2α, where α = log2(2p/q). |
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