Conjugacy in Houghton's groups

Let n ∈ N. Houghton's group Hn is the group of permutations of {1, . . . , n} × N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n ≥ 2.

Detalhes bibliográficos
Autores: Antolin Pichel, Yago, Burillo Puig, Josep, Martino, Armando
Formato: artículo
Fecha de publicación:2015
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:128220
Acesso em linha:https://ddd.uab.cat/record/128220
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_59115_01
Access Level:acceso abierto
Palavra-chave:Houghton group
Permutation groups
Conjugacy problem
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spelling Conjugacy in Houghton's groupsAntolin Pichel, YagoBurillo Puig, JosepMartino, ArmandoHoughton groupPermutation groupsConjugacy problemLet n ∈ N. Houghton's group Hn is the group of permutations of {1, . . . , n} × N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n ≥ 2. 22015-01-0120152015-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/128220https://dx.doi.org/urn:doi:10.5565/PUBLMAT_59115_01reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:1282202026-06-06T12:50:31Z
dc.title.none.fl_str_mv Conjugacy in Houghton's groups
title Conjugacy in Houghton's groups
spellingShingle Conjugacy in Houghton's groups
Antolin Pichel, Yago
Houghton group
Permutation groups
Conjugacy problem
title_short Conjugacy in Houghton's groups
title_full Conjugacy in Houghton's groups
title_fullStr Conjugacy in Houghton's groups
title_full_unstemmed Conjugacy in Houghton's groups
title_sort Conjugacy in Houghton's groups
dc.creator.none.fl_str_mv Antolin Pichel, Yago
Burillo Puig, Josep
Martino, Armando
author Antolin Pichel, Yago
author_facet Antolin Pichel, Yago
Burillo Puig, Josep
Martino, Armando
author_role author
author2 Burillo Puig, Josep
Martino, Armando
author2_role author
author
dc.subject.none.fl_str_mv Houghton group
Permutation groups
Conjugacy problem
topic Houghton group
Permutation groups
Conjugacy problem
description Let n ∈ N. Houghton's group Hn is the group of permutations of {1, . . . , n} × N, that eventually act as a translation in each copy of N. We prove the solvability of the conjugacy problem and conjugator search problem for Hn, n ≥ 2.
publishDate 2015
dc.date.none.fl_str_mv 2
2015-01-01
2015
2015-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
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format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/128220
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_59115_01
url https://ddd.uab.cat/record/128220
https://dx.doi.org/urn:doi:10.5565/PUBLMAT_59115_01
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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