Finitely presented subgroups of automatic groups and their isoperimetric functions
群论
2008-02-03 v1
摘要
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.
引用
@article{arxiv.math/9605201,
title = {Finitely presented subgroups of automatic groups and their isoperimetric functions},
author = {Gilbert Baumslag and Martin Bridson and Charles Miller and Hamish Short},
journal= {arXiv preprint arXiv:math/9605201},
year = {2008}
}
备注
DVI and Post-Script files only. To appear in J. London Math. Soc