Combings of groups and the grammar of reparameterization

A new construction of combings is used to distinguish between several previously indistinguishable classes of groups associated to the theory of automatic groups and non-positive curvature in group theory. We construct synchronously bounded combings for a class of groups that are neither bicombable...

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Autor principal: Bridson, M
Formato: Journal article
Idioma:English
Publicado em: 2003
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author Bridson, M
author_facet Bridson, M
author_sort Bridson, M
collection OXFORD
description A new construction of combings is used to distinguish between several previously indistinguishable classes of groups associated to the theory of automatic groups and non-positive curvature in group theory. We construct synchronously bounded combings for a class of groups that are neither bicombable nor automatic. The linguistic complexity of these combings is analysed: in many cases the language of words in the combing is an indexed language.
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spelling oxford-uuid:e7010ab1-f425-4aad-bc66-3e4ff0c9c5572022-03-27T10:35:09ZCombings of groups and the grammar of reparameterizationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:e7010ab1-f425-4aad-bc66-3e4ff0c9c557EnglishSymplectic Elements at Oxford2003Bridson, MA new construction of combings is used to distinguish between several previously indistinguishable classes of groups associated to the theory of automatic groups and non-positive curvature in group theory. We construct synchronously bounded combings for a class of groups that are neither bicombable nor automatic. The linguistic complexity of these combings is analysed: in many cases the language of words in the combing is an indexed language.
spellingShingle Bridson, M
Combings of groups and the grammar of reparameterization
title Combings of groups and the grammar of reparameterization
title_full Combings of groups and the grammar of reparameterization
title_fullStr Combings of groups and the grammar of reparameterization
title_full_unstemmed Combings of groups and the grammar of reparameterization
title_short Combings of groups and the grammar of reparameterization
title_sort combings of groups and the grammar of reparameterization
work_keys_str_mv AT bridsonm combingsofgroupsandthegrammarofreparameterization