Conciseness in compact R-analytic groups

We prove that every word is concise in the class of compact R- analytic groups. That is, for every word w and every compact R-analytic group G such that the set of word values w{G} is finite, the verbal subgroup w(G) is also finite.

Detalhes bibliográficos
Autor: Zozaya Ursuegui, Andoni
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/61524
Acesso em linha:http://hdl.handle.net/10810/61524
Access Level:acceso abierto
Palavra-chave:profinite groups
R-analytic groups
group word
conciseness
strong conciseness
id ES_aa747ca23973c7e63aa9475e60f2a022
oai_identifier_str oai:addi.ehu.eus:10810/61524
network_acronym_str ES
network_name_str España
repository_id_str
spelling Conciseness in compact R-analytic groupsZozaya Ursuegui, Andoniprofinite groupsR-analytic groupsgroup wordconcisenessstrong concisenessWe prove that every word is concise in the class of compact R- analytic groups. That is, for every word w and every compact R-analytic group G such that the set of word values w{G} is finite, the verbal subgroup w(G) is also finite.Elsevier202320232023info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/61524reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoIngléshttps://www.sciencedirect.com/science/article/pii/S0021869323000844info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/© 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).Atribución 3.0 Españaoai:addi.ehu.eus:10810/615242026-06-18T09:23:17Z
dc.title.none.fl_str_mv Conciseness in compact R-analytic groups
title Conciseness in compact R-analytic groups
spellingShingle Conciseness in compact R-analytic groups
Zozaya Ursuegui, Andoni
profinite groups
R-analytic groups
group word
conciseness
strong conciseness
title_short Conciseness in compact R-analytic groups
title_full Conciseness in compact R-analytic groups
title_fullStr Conciseness in compact R-analytic groups
title_full_unstemmed Conciseness in compact R-analytic groups
title_sort Conciseness in compact R-analytic groups
dc.creator.none.fl_str_mv Zozaya Ursuegui, Andoni
author Zozaya Ursuegui, Andoni
author_facet Zozaya Ursuegui, Andoni
author_role author
dc.subject.none.fl_str_mv profinite groups
R-analytic groups
group word
conciseness
strong conciseness
topic profinite groups
R-analytic groups
group word
conciseness
strong conciseness
description We prove that every word is concise in the class of compact R- analytic groups. That is, for every word w and every compact R-analytic group G such that the set of word values w{G} is finite, the verbal subgroup w(G) is also finite.
publishDate 2023
dc.date.none.fl_str_mv 2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/61524
url http://hdl.handle.net/10810/61524
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://www.sciencedirect.com/science/article/pii/S0021869323000844
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869416182889578496
score 15,301603

Registos relacionados