A Language Theoretic Analysis of CombingsSarah

نویسنده

  • Sarah Rees
چکیده

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 families, and of the closure properties of the associated families of groups; it explores the relationship between properties of the formal languages and those of the groups. It builds on previous work, in particular of Epstein et al. and Bridson and Gilman.

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تاریخ انتشار 2007