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Some Isoperimetric Inequalities for Kernels of Free Extensions |
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| Authors: | Steve Gersten Hamish Short |
| Affiliation: | (1) Mathematics Department, University of Utah, Salt Lake City, UT, 84112, U.S.A.;(2) LATP, UMR. 6632, FRUMAM, Université de Provence, Centre de Mathématiques et d'Informatique 39 Rue Joliot–Curie, F-13453 Marseille cedex 13, France |
| Abstract: | If G is a hyperbolic group (resp. synchronously or asynchronously automatic group) which can be expressed as an extension of a finitely presented group H by a finitely generated free group, then the normal subgroup H satisfies a polynomial isoperimetric inequality (resp. exponential isoperimetric inequality). |
| Keywords: | finitely presented group word metric van Kampen diagram radius area isoperimetric function hyperbolic group automatic group |
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