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Finitely presented subgroups of automatic groups and their isoperimetric functions

1996/05/06 by Baumslag, Gilbert, Bridson, Martin, Miller, Charles +1 · 2 citations
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.math/9605201

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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