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Finitely presented subgroups of automatic groups and their isoperimetric functions

Gilbert Baumslag·Martin Bridson·Charles Miller·Hamish Short
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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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Gilbert Baumslag, Martin Bridson, Charles Miller, Hamish Short. 1996-05-06. Finitely presented subgroups of automatic groups and their isoperimetric functions. https://arxiv.org/abs/math/9605201

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