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arXiv · math/9810201

Hairdressing in groups: a survey of combings and formal languages

Abstract

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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Sarah Rees. 1998-10-29. Hairdressing in groups: a survey of combings and formal languages. https://arxiv.org/abs/math/9810201

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