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: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2000
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| _version_ | 1797075793518526464 |
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| author | Brady, N Bridson, M |
| author_facet | Brady, N Bridson, M |
| author_sort | Brady, N |
| collection | OXFORD |
| description | 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). |
| first_indexed | 2024-03-06T23:55:12Z |
| format | Journal article |
| id | oxford-uuid:73fab3bd-ed4f-4cc8-84d4-4ac51e45f6c5 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:55:12Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:73fab3bd-ed4f-4cc8-84d4-4ac51e45f6c52022-03-26T19:59:51ZThere is only one gap in the isoperimetric spectrumJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:73fab3bd-ed4f-4cc8-84d4-4ac51e45f6c5EnglishSymplectic Elements at Oxford2000Brady, NBridson, MThe 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). |
| spellingShingle | Brady, N Bridson, M There is only one gap in the isoperimetric spectrum |
| title | There is only one gap in the isoperimetric spectrum |
| title_full | There is only one gap in the isoperimetric spectrum |
| title_fullStr | There is only one gap in the isoperimetric spectrum |
| title_full_unstemmed | There is only one gap in the isoperimetric spectrum |
| title_short | There is only one gap in the isoperimetric spectrum |
| title_sort | there is only one gap in the isoperimetric spectrum |
| work_keys_str_mv | AT bradyn thereisonlyonegapintheisoperimetricspectrum AT bridsonm thereisonlyonegapintheisoperimetricspectrum |