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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Formato: | Journal article |
Idioma: | English |
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2003
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_version_ | 1826302282959945728 |
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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. |
first_indexed | 2024-03-07T05:45:13Z |
format | Journal article |
id | oxford-uuid:e7010ab1-f425-4aad-bc66-3e4ff0c9c557 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T05:45:13Z |
publishDate | 2003 |
record_format | dspace |
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 |