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).
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Gersten, S., Short, H. Some Isoperimetric Inequalities for Kernels of Free Extensions. Geometriae Dedicata 92, 63–72 (2002). https://doi.org/10.1023/A:1019659912872
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DOI: https://doi.org/10.1023/A:1019659912872