Census of quadrangle groups inclusions

Bibliographic Details
Main Author: d’Azevedo, António Breda
Publication Date: 2016
Other Authors: Catalano, Domenico A., Karabáš, Ján, Nedela, Roman
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10773/16242
Summary: In a classical result of 1972 Singerman classifies the inclusions between triangle groups. We extend the classification to a broader family of triangle and quadrangle groups forming a particular subfamily of Fuchsian groups. With two exceptions, each inclusion determines a finite bipartite map (hypermap) on a 2-dimensional spherical orbifold that encodes the complete information and gives a graphical visualisation of the inclusion. A complete description of all the inclusions is contained in the attached tables.
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spelling Census of quadrangle groups inclusionsFuchsian groupsDessin d'enfantsIn a classical result of 1972 Singerman classifies the inclusions between triangle groups. We extend the classification to a broader family of triangle and quadrangle groups forming a particular subfamily of Fuchsian groups. With two exceptions, each inclusion determines a finite bipartite map (hypermap) on a 2-dimensional spherical orbifold that encodes the complete information and gives a graphical visualisation of the inclusion. A complete description of all the inclusions is contained in the attached tables.Springer2018-07-20T14:00:56Z2016-01-01T00:00:00Z20162016-12-31T17:00:00Zbook partinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/10773/16242eng978-3-319-30449-62194-100910.1007/978-3-319-30451-9_2d’Azevedo, António BredaCatalano, Domenico A.Karabáš, JánNedela, Romaninfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-05-06T03:58:16Zoai:ria.ua.pt:10773/16242Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T13:52:45.412698Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Census of quadrangle groups inclusions
title Census of quadrangle groups inclusions
spellingShingle Census of quadrangle groups inclusions
d’Azevedo, António Breda
Fuchsian groups
Dessin d'enfants
title_short Census of quadrangle groups inclusions
title_full Census of quadrangle groups inclusions
title_fullStr Census of quadrangle groups inclusions
title_full_unstemmed Census of quadrangle groups inclusions
title_sort Census of quadrangle groups inclusions
author d’Azevedo, António Breda
author_facet d’Azevedo, António Breda
Catalano, Domenico A.
Karabáš, Ján
Nedela, Roman
author_role author
author2 Catalano, Domenico A.
Karabáš, Ján
Nedela, Roman
author2_role author
author
author
dc.contributor.author.fl_str_mv d’Azevedo, António Breda
Catalano, Domenico A.
Karabáš, Ján
Nedela, Roman
dc.subject.por.fl_str_mv Fuchsian groups
Dessin d'enfants
topic Fuchsian groups
Dessin d'enfants
description In a classical result of 1972 Singerman classifies the inclusions between triangle groups. We extend the classification to a broader family of triangle and quadrangle groups forming a particular subfamily of Fuchsian groups. With two exceptions, each inclusion determines a finite bipartite map (hypermap) on a 2-dimensional spherical orbifold that encodes the complete information and gives a graphical visualisation of the inclusion. A complete description of all the inclusions is contained in the attached tables.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2016
2016-12-31T17:00:00Z
2018-07-20T14:00:56Z
dc.type.driver.fl_str_mv book part
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16242
url http://hdl.handle.net/10773/16242
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 978-3-319-30449-6
2194-1009
10.1007/978-3-319-30451-9_2
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
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repository.mail.fl_str_mv info@rcaap.pt
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