Groups of symmetric crosscap number less than or equal to 17

Every finite group G acts on some non-orientable unbordered surfaces. The minimal topological genus of those surfaces is called the symmetric crosscap number of G. It is known that 3 is not the symmetric crosscap number of any group but it remains unknown whether there are other such values, called...

Descripción completa

Detalles Bibliográficos
Autor: Bacelo Polo, Adrián
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/12900
Acceso en línea:https://hdl.handle.net/20.500.14352/12900
Access Level:acceso abierto
Palabra clave:512
512.54
Symmetric crosscap number
Klein surfaces
Álgebra
Grupos (Matemáticas)
1201 Álgebra
id ES_d2aaf232cf7b2fc6e784deff945aebe7
oai_identifier_str oai:docta.ucm.es:20.500.14352/12900
network_acronym_str ES
network_name_str España
repository_id_str
spelling Groups of symmetric crosscap number less than or equal to 17Bacelo Polo, Adrián512512.54Symmetric crosscap numberKlein surfacesÁlgebraGrupos (Matemáticas)1201 ÁlgebraEvery finite group G acts on some non-orientable unbordered surfaces. The minimal topological genus of those surfaces is called the symmetric crosscap number of G. It is known that 3 is not the symmetric crosscap number of any group but it remains unknown whether there are other such values, called gaps. In this paper we obtain the groups with symmetric crosscap number less than or equal to 17. Also, we obtain six infinite families with symmetric crosscap number of the form 12k + 3.University of PrimorskaUniversidad Complutense de Madrid20182018-01-0120182018-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/12900reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/129002026-06-02T12:44:21Z
dc.title.none.fl_str_mv Groups of symmetric crosscap number less than or equal to 17
title Groups of symmetric crosscap number less than or equal to 17
spellingShingle Groups of symmetric crosscap number less than or equal to 17
Bacelo Polo, Adrián
512
512.54
Symmetric crosscap number
Klein surfaces
Álgebra
Grupos (Matemáticas)
1201 Álgebra
title_short Groups of symmetric crosscap number less than or equal to 17
title_full Groups of symmetric crosscap number less than or equal to 17
title_fullStr Groups of symmetric crosscap number less than or equal to 17
title_full_unstemmed Groups of symmetric crosscap number less than or equal to 17
title_sort Groups of symmetric crosscap number less than or equal to 17
dc.creator.none.fl_str_mv Bacelo Polo, Adrián
author Bacelo Polo, Adrián
author_facet Bacelo Polo, Adrián
author_role author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512
512.54
Symmetric crosscap number
Klein surfaces
Álgebra
Grupos (Matemáticas)
1201 Álgebra
topic 512
512.54
Symmetric crosscap number
Klein surfaces
Álgebra
Grupos (Matemáticas)
1201 Álgebra
description Every finite group G acts on some non-orientable unbordered surfaces. The minimal topological genus of those surfaces is called the symmetric crosscap number of G. It is known that 3 is not the symmetric crosscap number of any group but it remains unknown whether there are other such values, called gaps. In this paper we obtain the groups with symmetric crosscap number less than or equal to 17. Also, we obtain six infinite families with symmetric crosscap number of the form 12k + 3.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-01-01
2018
2018-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/12900
url https://hdl.handle.net/20.500.14352/12900
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
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
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
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv University of Primorska
publisher.none.fl_str_mv University of Primorska
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869420393245179904
score 15,300724

Similares en LA Referencia