13
Views
7
CrossRef citations to date
0
Altmetric
Original Articles

Multiply Quasiplatonic Riemann Surfaces

Pages 463-475 | Published online: 05 Apr 2012

REFERENCES

  • Belyi , G. V. 1980 . “On Galois Extensions of a Maximal Cyclotomic Field.” . Math. USSR-IzvU , 14 : 247 – 256 . [Belyi 80], (English translation)
  • Cohen , P. B. , Itzykson , C. and Wolfart , J. 1994 . “Fuchsian Triangle Groups and Grothendieck Dessins. Variations on a Theme of Belyi.” . Comm. Math. Physics , 163 : 605 – 627 . [Cohen et al. 94]
  • Conder , M. 1987 . “The Genus of Compact Riemann Surfaces with Maximal Automorphism Group.” . J. of Algebra , 108 : 204 – 247 . [Conder 87]
  • The GAP Group . 2002 . “GAP-Groups, Algorithms, and Programming, Version 4.3.” [GAP 02], Available from World Wide Web www.gap-system.org
  • Girondo , Ernesto . 2003 . Research and teaching web page [Girondo 03], Available from World Wide Web http://www.uam.es/ernesto.girondo
  • HTessellate . 1994 . Mathematica® Package for Hyperbolic Geometry Computations [HTessellate 94], Version 1.3.0, Available from World Wide Web http://www.funet.fi/pub/sci/math/riemann/mathematica/
  • Jones , G. A. and Singerman , D. 1996 . “Belyi Functions, Hypermaps and Galois Groups.” . Bull. London Math. Soc. , 28 : 561 – 590 . [Jones and Singerman 96]
  • Maclachlan , C. and Rosenberger , G. 1992 . “Commensurability Classes of 2-Generator Fuchsian Groups.” . In Discrete Groups and Geometry Edited by: Harvey , W. J. and Maclachlan , C. 171 – 189 . Cambridge : UK, Cambridge U. Press. . [Maclachlan and Rosenberger 92], L.M.S. Lecture Notes Series 173
  • Wolfram Research Inc . 2003 . Mathematica® offical site [Mathematica 03], Available from World Wide Web www.wolfram.com/products/mathematica/index.html
  • Singerman , D. 1972 . “Finitely Maximal Fuchsian Groups.” . J. London Math. Soc. (2) , 6 : 29 – 38 . [Singerman 72]
  • Singerman , D. 2001 . “Riemann Surfaces, Belyi Functions and Hypermaps.” . In Topics on Riemann Surfaces and Fuchsian Groups Edited by: Bujalance , E. , Costa , A. F. and Martinez , E. 43 – 68 . Cambridge : UK, Cambridge University Press. . [Singerman 01], London Math. Soc. Lecture Note Ser. 287
  • Singerman , D. and Syddall , R. 2001 . “The Riemann Surface of a Uniform Dessin.” [Singerman and Syddall 01], Available from World Wide Web http://www.maths.soton.ac.uk/pure/preprints.phtmlPreprint
  • Takeuchi , K. 1977 . “Arithmetic Triangle Groups.” . J. Math. Soc. Japan , 29 : 91 – 106 . [Takeuchi 77a]
  • Takeuchi , K. 1977 . “Commensurability Classes of Arithmetic Triangle Groups.” . J. Fac. Sci. Univ. Tokio Sect. 1A Math. (1) , 24 : 201 – 212 . [Takeuchi 77b]
  • Wolfart , J. 1997 . “The ‘Obvious’ Part of Belyi's Theorem and Riemann Surfaces with Many Automorphisms.” . In Geometric Galois Actions 1 Edited by: Schneps , L. and Lochak , P. 97 – 112 . Cambridge , , UK : Cambridge U. Press. . [Wolfart 97], L.M.S. Lecture Notes Series 242
  • Wolfart , J. 2000 . “Triangle Groups and Jacobians of CM Type.” [Wolfart 00], Available from World Wide Web http://www.maths.uni-frankfurt.de/~'steuding/wolfart.shtmlPreprint.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.