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).
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2000
|
| Summary: | 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). |
|---|