Highly symmetric hypertopes

Detalhes bibliográficos
Autor(a) principal: Fernandes, Maria Elisa
Data de Publicação: 2016
Outros Autores: Leemans, Dimitri, Weiss, Asia
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/16681
Resumo: We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the polytopes theory, we introduce the concept of chirality, a property of orderly asymmetry occurring frequently in nature as a natural phenomenon. The main result in this paper is that automorphism groups of regular and chiral thin residually connected geometries need to be C-groups in the regular case and C+-groups in the chiral case.
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spelling Highly symmetric hypertopesRegularityChiralityThin geometriesHypermapsAbstract polytopesWe study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the polytopes theory, we introduce the concept of chirality, a property of orderly asymmetry occurring frequently in nature as a natural phenomenon. The main result in this paper is that automorphism groups of regular and chiral thin residually connected geometries need to be C-groups in the regular case and C+-groups in the chiral case.Springer2018-07-20T14:00:58Z2016-10-01T00:00:00Z2016-102017-10-01T11:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16681eng0001-905410.1007/s00010-016-0431-1Fernandes, Maria ElisaLeemans, DimitriWeiss, Asiainfo: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:RCAAP2024-02-22T11:30:58Zoai:ria.ua.pt:10773/16681Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:41.704769Repositório 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 Highly symmetric hypertopes
title Highly symmetric hypertopes
spellingShingle Highly symmetric hypertopes
Fernandes, Maria Elisa
Regularity
Chirality
Thin geometries
Hypermaps
Abstract polytopes
title_short Highly symmetric hypertopes
title_full Highly symmetric hypertopes
title_fullStr Highly symmetric hypertopes
title_full_unstemmed Highly symmetric hypertopes
title_sort Highly symmetric hypertopes
author Fernandes, Maria Elisa
author_facet Fernandes, Maria Elisa
Leemans, Dimitri
Weiss, Asia
author_role author
author2 Leemans, Dimitri
Weiss, Asia
author2_role author
author
dc.contributor.author.fl_str_mv Fernandes, Maria Elisa
Leemans, Dimitri
Weiss, Asia
dc.subject.por.fl_str_mv Regularity
Chirality
Thin geometries
Hypermaps
Abstract polytopes
topic Regularity
Chirality
Thin geometries
Hypermaps
Abstract polytopes
description We study incidence geometries that are thin and residually connected. These geometries generalise abstract polytopes. In this generalised setting, guided by the ideas from the polytopes theory, we introduce the concept of chirality, a property of orderly asymmetry occurring frequently in nature as a natural phenomenon. The main result in this paper is that automorphism groups of regular and chiral thin residually connected geometries need to be C-groups in the regular case and C+-groups in the chiral case.
publishDate 2016
dc.date.none.fl_str_mv 2016-10-01T00:00:00Z
2016-10
2017-10-01T11:00:00Z
2018-07-20T14:00:58Z
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/10773/16681
url http://hdl.handle.net/10773/16681
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0001-9054
10.1007/s00010-016-0431-1
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 Springer
publisher.none.fl_str_mv Springer
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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