Subgroup collections controlling the homotopy type of a p-local compact group

Let (S, F, L) be a p -local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This generalizes work of Broto, Grodal, Levi, Oliver, and the second author, who prove an...

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Autores: Belmont, Eva|||0000-0002-5617-753X, Castellana, Natàlia|||0000-0003-2839-2002, Lesh, Kathryn
Tipo de recurso: artículo
Fecha de publicación:2023
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:325054
Acceso en línea:https://ddd.uab.cat/record/325054
https://dx.doi.org/urn:doi:10.1016/j.jpaa.2023.107387
Access Level:acceso abierto
Palabra clave:Homotopy theory
Fusion system
Classifying space
Lie group
p -local compact group
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spelling Subgroup collections controlling the homotopy type of a p-local compact groupBelmont, Eva|||0000-0002-5617-753XCastellana, Natàlia|||0000-0003-2839-2002Lesh, KathrynHomotopy theoryFusion systemClassifying spaceLie groupp -local compact groupLet (S, F, L) be a p -local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This generalizes work of Broto, Grodal, Levi, Oliver, and the second author, who prove an analogous result for p -local finite groups.Centre de Recerca Matemàtica 22023-01-0120232023-01-01Articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/325054https://dx.doi.org/urn:doi:10.1016/j.jpaa.2023.107387reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2020-116481GB-I00Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 CEX2020-001084-Mopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:3250542026-06-06T12:50:31Z
dc.title.none.fl_str_mv Subgroup collections controlling the homotopy type of a p-local compact group
title Subgroup collections controlling the homotopy type of a p-local compact group
spellingShingle Subgroup collections controlling the homotopy type of a p-local compact group
Belmont, Eva|||0000-0002-5617-753X
Homotopy theory
Fusion system
Classifying space
Lie group
p -local compact group
title_short Subgroup collections controlling the homotopy type of a p-local compact group
title_full Subgroup collections controlling the homotopy type of a p-local compact group
title_fullStr Subgroup collections controlling the homotopy type of a p-local compact group
title_full_unstemmed Subgroup collections controlling the homotopy type of a p-local compact group
title_sort Subgroup collections controlling the homotopy type of a p-local compact group
dc.creator.none.fl_str_mv Belmont, Eva|||0000-0002-5617-753X
Castellana, Natàlia|||0000-0003-2839-2002
Lesh, Kathryn
author Belmont, Eva|||0000-0002-5617-753X
author_facet Belmont, Eva|||0000-0002-5617-753X
Castellana, Natàlia|||0000-0003-2839-2002
Lesh, Kathryn
author_role author
author2 Castellana, Natàlia|||0000-0003-2839-2002
Lesh, Kathryn
author2_role author
author
dc.contributor.none.fl_str_mv Centre de Recerca Matemàtica
dc.subject.none.fl_str_mv Homotopy theory
Fusion system
Classifying space
Lie group
p -local compact group
topic Homotopy theory
Fusion system
Classifying space
Lie group
p -local compact group
description Let (S, F, L) be a p -local compact group. We prove that the (uncompleted) homotopy type of the nerve of the linking system L is determined by the collection of subgroups of S that are F-centric and F-radical. This generalizes work of Broto, Grodal, Levi, Oliver, and the second author, who prove an analogous result for p -local finite groups.
publishDate 2023
dc.date.none.fl_str_mv 2
2023-01-01
2023
2023-01-01
dc.type.none.fl_str_mv 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://ddd.uab.cat/record/325054
https://dx.doi.org/urn:doi:10.1016/j.jpaa.2023.107387
url https://ddd.uab.cat/record/325054
https://dx.doi.org/urn:doi:10.1016/j.jpaa.2023.107387
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 https://doi.org/10.13039/501100011033 PID2020-116481GB-I00
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 CEX2020-001084-M
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/4.0/
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
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
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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