Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/16242
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 |
URI: | http://hdl.handle.net/10773/16242 |
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 |
Files in This Item:
File | Description | Size | Format | |
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census.pdf | documento principal | 4.45 MB | Adobe PDF | View/Open |
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