Finitely presented subgroups of automatic groups and their isoperimetric functions

Author: 

Baumslag, G
Bridson, MR
Miller, CF
Short, H

Journal: 

Journal of the London Mathematical Society

Publication Date: 

1 January 1997

Last Updated: 

2017-10-20T17:06:52.36+01:00

Issue: 

2

Volume: 

56

page: 

292-304

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.

Symplectic id: 

516

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article