Hairdressing in groups: a survey of combings and formal languages

Details Hairdressing in groups: a survey of combings and formal languages Hairdressing in groups: a survey of combings and formal languages

1998-10-29

arxiv.org/abs/math/9810201v1

Geom. Topol. Monogr. 1 (1998), 493-509

Mathematics

Group Theory

17 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon1/paper24.abs.html

Scientific paper

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 article surveys results for combable
groups, in particular in the case where the combing is a formal language.

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