The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5

An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfac...

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Detalles Bibliográficos
Autores: Bujalance García, Emilio, Etayo Gordejuela, José Javier, Martínez García, Ernesto
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/33472
Acceso en línea:https://hdl.handle.net/20.500.14352/33472
Access Level:acceso abierto
Palabra clave:512
Non-orientable surface
Klein surface
Automorphism group
Symmetric crosscap number
Álgebra
1201 Álgebra
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spelling The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5Bujalance García, EmilioEtayo Gordejuela, José JavierMartínez García, Ernesto512Non-orientable surfaceKlein surfaceAutomorphism groupSymmetric crosscap numberÁlgebra1201 ÁlgebraAn important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfaces. In this case the solution of the problem is known for surfaces of genus 1 and 2, and for hyperelliptic surfaces. Here we explicitly obtain the full automorphism group of all surfaces of genus 3, 4 and 5.SpringerUniversidad Complutense de Madrid20142014-01-0120142014-01-01journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/33472reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/334722026-06-02T12:44:21Z
dc.title.none.fl_str_mv The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
title The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
spellingShingle The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
Bujalance García, Emilio
512
Non-orientable surface
Klein surface
Automorphism group
Symmetric crosscap number
Álgebra
1201 Álgebra
title_short The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
title_full The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
title_fullStr The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
title_full_unstemmed The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
title_sort The full group of automorphisms of non-orientable unbordered Klein surfaces of topological genus 3, 4 and 5
dc.creator.none.fl_str_mv Bujalance García, Emilio
Etayo Gordejuela, José Javier
Martínez García, Ernesto
author Bujalance García, Emilio
author_facet Bujalance García, Emilio
Etayo Gordejuela, José Javier
Martínez García, Ernesto
author_role author
author2 Etayo Gordejuela, José Javier
Martínez García, Ernesto
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 512
Non-orientable surface
Klein surface
Automorphism group
Symmetric crosscap number
Álgebra
1201 Álgebra
topic 512
Non-orientable surface
Klein surface
Automorphism group
Symmetric crosscap number
Álgebra
1201 Álgebra
description An important problem in the study of Riemann and Klein surfaces is determining their full automorphism groups. Up to now only very partial results are known, concerning surfaces of low genus or families of surfaces with special properties. This paper deals with non-orientable unbordered Klein surfaces. In this case the solution of the problem is known for surfaces of genus 1 and 2, and for hyperelliptic surfaces. Here we explicitly obtain the full automorphism group of all surfaces of genus 3, 4 and 5.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01
2014
2014-01-01
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/20.500.14352/33472
url https://hdl.handle.net/20.500.14352/33472
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
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
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: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
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score 15.301603

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