C-groups of high rank for the symmetric groups

Detalhes bibliográficos
Autor(a) principal: Fernandes, Maria Elisa
Data de Publicação: 2018
Outros Autores: Leemans, Dimitri
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/23861
Resumo: We give presentations for the C-groups of rank n – 1 of the symmetric group Sn. We also classify C-groups of rank n – 2 for Sn. We show that all these C-groups correspond to regular hypertopes, that is, thin, residually connected flag-transitive geometries. Therefore we generalise some similar results obtained in the framework of string C-groups that are in one-to-one correspondence with abstract regular polytopes.
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spelling C-groups of high rank for the symmetric groupsC-groupsRegularityThin geometriesAbstract polytopesHypertopesCoxeter groupsIndependent generating setsInductively minimal geometriesWe give presentations for the C-groups of rank n – 1 of the symmetric group Sn. We also classify C-groups of rank n – 2 for Sn. We show that all these C-groups correspond to regular hypertopes, that is, thin, residually connected flag-transitive geometries. Therefore we generalise some similar results obtained in the framework of string C-groups that are in one-to-one correspondence with abstract regular polytopes.Elsevier2019-08-15T00:00:00Z2018-08-15T00:00:00Z2018-08-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/23861eng0021-869310.1016/j.jalgebra.2018.04.031Fernandes, Maria ElisaLeemans, Dimitriinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:47:02Zoai:ria.ua.pt:10773/23861Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:57:45.894119Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv C-groups of high rank for the symmetric groups
title C-groups of high rank for the symmetric groups
spellingShingle C-groups of high rank for the symmetric groups
Fernandes, Maria Elisa
C-groups
Regularity
Thin geometries
Abstract polytopes
Hypertopes
Coxeter groups
Independent generating sets
Inductively minimal geometries
title_short C-groups of high rank for the symmetric groups
title_full C-groups of high rank for the symmetric groups
title_fullStr C-groups of high rank for the symmetric groups
title_full_unstemmed C-groups of high rank for the symmetric groups
title_sort C-groups of high rank for the symmetric groups
author Fernandes, Maria Elisa
author_facet Fernandes, Maria Elisa
Leemans, Dimitri
author_role author
author2 Leemans, Dimitri
author2_role author
dc.contributor.author.fl_str_mv Fernandes, Maria Elisa
Leemans, Dimitri
dc.subject.por.fl_str_mv C-groups
Regularity
Thin geometries
Abstract polytopes
Hypertopes
Coxeter groups
Independent generating sets
Inductively minimal geometries
topic C-groups
Regularity
Thin geometries
Abstract polytopes
Hypertopes
Coxeter groups
Independent generating sets
Inductively minimal geometries
description We give presentations for the C-groups of rank n – 1 of the symmetric group Sn. We also classify C-groups of rank n – 2 for Sn. We show that all these C-groups correspond to regular hypertopes, that is, thin, residually connected flag-transitive geometries. Therefore we generalise some similar results obtained in the framework of string C-groups that are in one-to-one correspondence with abstract regular polytopes.
publishDate 2018
dc.date.none.fl_str_mv 2018-08-15T00:00:00Z
2018-08-15
2019-08-15T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/23861
url http://hdl.handle.net/10773/23861
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0021-8693
10.1016/j.jalgebra.2018.04.031
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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