Automorphisms of the Rado meet-tree

We prove that the group of automorphisms of the generic meet-tree expansion of an infinite non-unary free Fraïssé limit over a finite relational language is simple. As a prototypical case, the group of automorphisms of the Rado meet-tree (i.e. the Fraïssé limit of finite graphs which are also meet-t...

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Detalhes bibliográficos
Autores: Kaplan, Itay, Riahi, Binyamin, Rodríguez Fanlo, Arturo
Formato: artículo
Fecha de publicación:2025
País:España
Recursos:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/719635
Acesso em linha:http://hdl.handle.net/10486/719635
https://dx.doi.org/10.1016/j.jalgebra.2025.03.020
Access Level:acceso abierto
Palavra-chave:Automorphism groups
Fraisse limits
Homogeneous structures
Meet-trees
Oligomorphic permutation groups
Semilattices
Simple groups
Stationary independence relations
Matemáticas
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spelling Automorphisms of the Rado meet-treeKaplan, ItayRiahi, BinyaminRodríguez Fanlo, ArturoAutomorphism groupsFraisse limitsHomogeneous structuresMeet-treesOligomorphic permutation groupsSemilatticesSimple groupsStationary independence relationsMatemáticasWe prove that the group of automorphisms of the generic meet-tree expansion of an infinite non-unary free Fraïssé limit over a finite relational language is simple. As a prototypical case, the group of automorphisms of the Rado meet-tree (i.e. the Fraïssé limit of finite graphs which are also meet-trees) is simpleKaplan would like to thank The Israel Science Foundation (ISF) for their support of this research (grants no. 1254/18 and 804/22). Rodríguez Fanlo was supported by the Israel Academy of Sciences and Humanities & Council for Higher Education Excellence Fellowship Program for International Postdoctoral ResearchersElsevierDepartamento de MatemáticasFacultad de Ciencias20252025-03-26research articlehttp://purl.org/coar/resource_type/c_2df8fbb1VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/719635https://dx.doi.org/10.1016/j.jalgebra.2025.03.020reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial 4.0 Internationalhttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/7196352026-06-23T12:46:27Z
dc.title.none.fl_str_mv Automorphisms of the Rado meet-tree
title Automorphisms of the Rado meet-tree
spellingShingle Automorphisms of the Rado meet-tree
Kaplan, Itay
Automorphism groups
Fraisse limits
Homogeneous structures
Meet-trees
Oligomorphic permutation groups
Semilattices
Simple groups
Stationary independence relations
Matemáticas
title_short Automorphisms of the Rado meet-tree
title_full Automorphisms of the Rado meet-tree
title_fullStr Automorphisms of the Rado meet-tree
title_full_unstemmed Automorphisms of the Rado meet-tree
title_sort Automorphisms of the Rado meet-tree
dc.creator.none.fl_str_mv Kaplan, Itay
Riahi, Binyamin
Rodríguez Fanlo, Arturo
author Kaplan, Itay
author_facet Kaplan, Itay
Riahi, Binyamin
Rodríguez Fanlo, Arturo
author_role author
author2 Riahi, Binyamin
Rodríguez Fanlo, Arturo
author2_role author
author
dc.contributor.none.fl_str_mv Departamento de Matemáticas
Facultad de Ciencias
dc.subject.none.fl_str_mv Automorphism groups
Fraisse limits
Homogeneous structures
Meet-trees
Oligomorphic permutation groups
Semilattices
Simple groups
Stationary independence relations
Matemáticas
topic Automorphism groups
Fraisse limits
Homogeneous structures
Meet-trees
Oligomorphic permutation groups
Semilattices
Simple groups
Stationary independence relations
Matemáticas
description We prove that the group of automorphisms of the generic meet-tree expansion of an infinite non-unary free Fraïssé limit over a finite relational language is simple. As a prototypical case, the group of automorphisms of the Rado meet-tree (i.e. the Fraïssé limit of finite graphs which are also meet-trees) is simple
publishDate 2025
dc.date.none.fl_str_mv 2025
2025-03-26
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/719635
https://dx.doi.org/10.1016/j.jalgebra.2025.03.020
url http://hdl.handle.net/10486/719635
https://dx.doi.org/10.1016/j.jalgebra.2025.03.020
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
Attribution-NonCommercial 4.0 International
http://creativecommons.org/licenses/by-nc/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
Attribution-NonCommercial 4.0 International
http://creativecommons.org/licenses/by-nc/4.0/
eu_rights_str_mv openAccess
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:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812455

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