Volume 1 (1998)

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ISSN (electronic): 1464-8997
ISSN (print): 1464-8989
Hairdressing in groups: a survey of combings and formal languages

Sarah Rees

Geometry & Topology Monographs 1 (1998) 493–509
DOI: 10.2140/gtm.1998.1.493

arXiv: math.GR/9810201

Abstract
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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.

Dedicated to David Epstein on the occasion of his 60th birthday.

Keywords
combings, formal languages, fellow travellers, automatic groups
Mathematical Subject Classification
Primary: 20F10, 20-04, 68Q40
Secondary: 03D40
References
Publication
Received: 15 November 1997
Published: 29 October 1998
Authors
Sarah Rees
University of Newcastle
Newcastle NE1 7RU
United Kingdom