Hypertopes with tetrahedral diagram

Detalhes bibliográficos
Autor(a) principal: Fernandes, M. Elisa
Data de Publicação: 2018
Outros Autores: Catalano, Domenico, Leemans, Dimitri, Hubard, Isabel
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/24493
Resumo: In this paper we construct an in nite family of hypertopes of rank four having the complete graph K4 as diagram. Their group of rotational symmetries is isomorphic to PSL(2;q). It turns out some elements of this family are regular hypertopes and some are chiral. Moreover, we show that the chiral ones have both improper and proper correlations simultaneously.
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spelling Hypertopes with tetrahedral diagramRegularityChiralityThin geometriesHypermapsAbstract polytopesIn this paper we construct an in nite family of hypertopes of rank four having the complete graph K4 as diagram. Their group of rotational symmetries is isomorphic to PSL(2;q). It turns out some elements of this family are regular hypertopes and some are chiral. Moreover, we show that the chiral ones have both improper and proper correlations simultaneously.2018-10-29T15:38:54Z2018-08-01T00:00:00Z2018-08info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/24493engFernandes, M. ElisaCatalano, DomenicoLeemans, DimitriHubard, Isabelinfo: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:RCAAP2024-02-22T11:47:56Zoai:ria.ua.pt:10773/24493Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:58:05.718064Repositório 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 Hypertopes with tetrahedral diagram
title Hypertopes with tetrahedral diagram
spellingShingle Hypertopes with tetrahedral diagram
Fernandes, M. Elisa
Regularity
Chirality
Thin geometries
Hypermaps
Abstract polytopes
title_short Hypertopes with tetrahedral diagram
title_full Hypertopes with tetrahedral diagram
title_fullStr Hypertopes with tetrahedral diagram
title_full_unstemmed Hypertopes with tetrahedral diagram
title_sort Hypertopes with tetrahedral diagram
author Fernandes, M. Elisa
author_facet Fernandes, M. Elisa
Catalano, Domenico
Leemans, Dimitri
Hubard, Isabel
author_role author
author2 Catalano, Domenico
Leemans, Dimitri
Hubard, Isabel
author2_role author
author
author
dc.contributor.author.fl_str_mv Fernandes, M. Elisa
Catalano, Domenico
Leemans, Dimitri
Hubard, Isabel
dc.subject.por.fl_str_mv Regularity
Chirality
Thin geometries
Hypermaps
Abstract polytopes
topic Regularity
Chirality
Thin geometries
Hypermaps
Abstract polytopes
description In this paper we construct an in nite family of hypertopes of rank four having the complete graph K4 as diagram. Their group of rotational symmetries is isomorphic to PSL(2;q). It turns out some elements of this family are regular hypertopes and some are chiral. Moreover, we show that the chiral ones have both improper and proper correlations simultaneously.
publishDate 2018
dc.date.none.fl_str_mv 2018-10-29T15:38:54Z
2018-08-01T00:00:00Z
2018-08
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/10773/24493
url http://hdl.handle.net/10773/24493
dc.language.iso.fl_str_mv eng
language eng
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.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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv
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