Finitely presented subgroups of automatic groups and their isoperimetric functions

Details Finitely presented subgroups of automatic groups and their isoperimetric functions Finitely presented subgroups of automatic groups and their isoperimetric functions

1996-05-06

arxiv.org/abs/math/9605201v1

Mathematics

Group Theory

DVI and Post-Script files only. To appear in J. London Math. Soc

Scientific paper

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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