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Title: Census of quadrangle groups inclusions
Author: d’Azevedo, António Breda
Catalano, Domenico A.
Karabáš, Ján
Nedela, Roman
Keywords: Fuchsian groups
Dessin d'enfants
Issue Date: 2016
Publisher: Springer
Abstract: 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.
Peer review: yes
DOI: 10.1007/978-3-319-30451-9_2
ISBN: 978-3-319-30449-6
ISSN: 2194-1009
Appears in Collections:CIDMA - Capítulo de livro
AGG - Capítulo de livro

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