A language theoretic analysis of combings
Keywords combings, formal language classes, fellow traveller property, automatic groups
In Contemporary Mathematics, 250, 117-136.
A group is combable if it can be represented by a language of words satisfying
a fellow traveller property; an automatic group has a synchronous combing
which is a regular language.
This paper gives a systematic analysis of the properties of groups with
combings in various formal language classes, and of the closure properties
of the associated classes of groups. It generalises
previous work, in particular of Epstein et al. and Bridson and Gilman.
The preprint is available as gzipped
dvi (43 kB) and
postscript (136 kB) files.
Alternatively, you can request a copy by
28 April 1999.