Finitely Presented Subgroups of Automatic Groups and their Isoperimetric Functions
Identifieur interne : 002185 ( Istex/Curation ); précédent : 002184; suivant : 002186Finitely Presented Subgroups of Automatic Groups and their Isoperimetric Functions
Auteurs : Gilbert Baumslag [États-Unis] ; Martin R. Bridson ; Charles F. Miller [Australie] ; Hamish Short [France]Source :
- Journal of the London Mathematical Society [ 0024-6107 ] ; 1997-10.
Abstract
We describe a general technique for embedding certain amalgamated products into direct products. This technique provides us with a way of constructing a host of finitely presented subgroups of automatic groups which are not even asynchronously automatic. We can also arrange that such subgroups satisfy, at best, an exponential isoperimetric inequality.
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DOI: 10.1112/S0024610797005395
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Martin R. Bridson<affiliation><mods:affiliation>Mathematical Institute 24–29 St. Giles, Oxford OX1 3LB</mods:affiliation><wicri:noCountry code="subField">3LB</wicri:noCountry></affiliation>Le document en format XML
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This technique provides us with a way of constructing a host of finitely presented subgroups of automatic groups which are not even asynchronously automatic. We can also arrange that such subgroups satisfy, at best, an exponential isoperimetric inequality.</div></front></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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