Fixed subgroups in direct products of surface groups of Euclidean type

We give an explicit characterization of which direct products G of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of G is compressed, and of which is it always inert.

Detalhes bibliográficos
Autores: Wu, Jianchun, Ventura Capell, Enric|||0000-0003-3519-4135, Zhang, Qiang
Formato: artículo
Fecha de publicación:2020
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/178678
Acesso em linha:https://hdl.handle.net/2117/178678
https://dx.doi.org/10.1080/00927872.2020.1726939
Access Level:acceso abierto
Palavra-chave:Endomorphisms (Group theory)
Free groups
Group theory
Compressed
Direct products
Fixed subgroups
Inert
Intersections
Surface groups
Endomorfismes (Teoria de grups)
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
Classificació AMS::57 Manifolds and cell complexes::57M Low-dimensional topology
Àrees temàtiques de la UPC::Matemàtiques i estadística
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spelling Fixed subgroups in direct products of surface groups of Euclidean typeWu, JianchunVentura Capell, Enric|||0000-0003-3519-4135Zhang, QiangEndomorphisms (Group theory)Free groupsGroup theoryCompressedDirect productsFixed subgroupsFree groupsInertIntersectionsSurface groupsEndomorfismes (Teoria de grups)Grups, Teoria deClassificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groupsClassificació AMS::57 Manifolds and cell complexes::57M Low-dimensional topologyÀrees temàtiques de la UPC::Matemàtiques i estadísticaWe give an explicit characterization of which direct products G of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of G is compressed, and of which is it always inert.Peer Reviewed20202020-02-2420202020-02-26journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/178678https://dx.doi.org/10.1080/00927872.2020.1726939reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)InglésengAgencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-82740-P METODOS GEOMETRICOS EN TEORIA DE GRUPOSMinisterio de Economía y Competitividad http://doi.org/10.13039/501100003329 MDM-2014-0445 Barcelona Graduate School of Mathematics (BGSMath)open accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1786782026-05-27T15:37:01Z
dc.title.none.fl_str_mv Fixed subgroups in direct products of surface groups of Euclidean type
title Fixed subgroups in direct products of surface groups of Euclidean type
spellingShingle Fixed subgroups in direct products of surface groups of Euclidean type
Wu, Jianchun
Endomorphisms (Group theory)
Free groups
Group theory
Compressed
Direct products
Fixed subgroups
Free groups
Inert
Intersections
Surface groups
Endomorfismes (Teoria de grups)
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
Classificació AMS::57 Manifolds and cell complexes::57M Low-dimensional topology
Àrees temàtiques de la UPC::Matemàtiques i estadística
title_short Fixed subgroups in direct products of surface groups of Euclidean type
title_full Fixed subgroups in direct products of surface groups of Euclidean type
title_fullStr Fixed subgroups in direct products of surface groups of Euclidean type
title_full_unstemmed Fixed subgroups in direct products of surface groups of Euclidean type
title_sort Fixed subgroups in direct products of surface groups of Euclidean type
dc.creator.none.fl_str_mv Wu, Jianchun
Ventura Capell, Enric|||0000-0003-3519-4135
Zhang, Qiang
author Wu, Jianchun
author_facet Wu, Jianchun
Ventura Capell, Enric|||0000-0003-3519-4135
Zhang, Qiang
author_role author
author2 Ventura Capell, Enric|||0000-0003-3519-4135
Zhang, Qiang
author2_role author
author
dc.subject.none.fl_str_mv Endomorphisms (Group theory)
Free groups
Group theory
Compressed
Direct products
Fixed subgroups
Free groups
Inert
Intersections
Surface groups
Endomorfismes (Teoria de grups)
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
Classificació AMS::57 Manifolds and cell complexes::57M Low-dimensional topology
Àrees temàtiques de la UPC::Matemàtiques i estadística
topic Endomorphisms (Group theory)
Free groups
Group theory
Compressed
Direct products
Fixed subgroups
Free groups
Inert
Intersections
Surface groups
Endomorfismes (Teoria de grups)
Grups, Teoria de
Classificació AMS::20 Group theory and generalizations::20F Special aspects of infinite or finite groups
Classificació AMS::57 Manifolds and cell complexes::57M Low-dimensional topology
Àrees temàtiques de la UPC::Matemàtiques i estadística
description We give an explicit characterization of which direct products G of surface groups of Euclidean type satisfy that the fixed subgroup of any automorphism (or endomorphism) of G is compressed, and of which is it always inert.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-02-24
2020
2020-02-26
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/178678
https://dx.doi.org/10.1080/00927872.2020.1726939
url https://hdl.handle.net/2117/178678
https://dx.doi.org/10.1080/00927872.2020.1726939
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016 MTM2017-82740-P METODOS GEOMETRICOS EN TEORIA DE GRUPOS
Ministerio de Economía y Competitividad http://doi.org/10.13039/501100003329 MDM-2014-0445 Barcelona Graduate School of Mathematics (BGSMath)
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301629

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