Dessin d'enfant (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Dessin d'enfant" in English language version.

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Klein (1879). Klein, Felix (1879), "Ueber die Transformation elfter Ordnung der elliptischen Functionen (On the eleventh order transformation of elliptic functions)", Mathematische Annalen, 15 (3–4): 533–555, doi:10.1007/BF02086276, S2CID 120316938, collected as pp. 140–165 in Oeuvres, Tome 3 Archived 19 July 2011 at the Wayback Machine.
Klein (1878–1879a); Klein (1878–1879b). Klein, Felix (1878–79), "Über die Transformation der elliptischen Funktionen und die Auflösung der Gleichungen fünften Grades (On the transformation of elliptic functions and ...)", Mathematische Annalen, 14: 13–75 (in Oeuvres, Tome 3), doi:10.1007/BF02297507, S2CID 121056952, archived from the original on 19 July 2011, retrieved 2 June 2010. Klein, Felix (1878–79), "Über die Transformation siebenter Ordnung der elliptischen Funktionen (On the seventh order transformation of elliptic functions)", Mathematische Annalen, 14: 90–135 (in Oeuvres, Tome 3), doi:10.1007/BF01677143, S2CID 121407539, archived from the original on 24 February 2012, retrieved 9 July 2010.

emath.fr

mathdoc.emath.fr

Klein (1879). Klein, Felix (1879), "Ueber die Transformation elfter Ordnung der elliptischen Functionen (On the eleventh order transformation of elliptic functions)", Mathematische Annalen, 15 (3–4): 533–555, doi:10.1007/BF02086276, S2CID 120316938, collected as pp. 140–165 in Oeuvres, Tome 3 Archived 19 July 2011 at the Wayback Machine.
Klein (1878–1879a); Klein (1878–1879b). Klein, Felix (1878–79), "Über die Transformation der elliptischen Funktionen und die Auflösung der Gleichungen fünften Grades (On the transformation of elliptic functions and ...)", Mathematische Annalen, 14: 13–75 (in Oeuvres, Tome 3), doi:10.1007/BF02297507, S2CID 121056952, archived from the original on 19 July 2011, retrieved 2 June 2010. Klein, Felix (1878–79), "Über die Transformation siebenter Ordnung der elliptischen Funktionen (On the seventh order transformation of elliptic functions)", Mathematische Annalen, 14: 90–135 (in Oeuvres, Tome 3), doi:10.1007/BF01677143, S2CID 121407539, archived from the original on 24 February 2012, retrieved 9 July 2010.

neverendingbooks.org

le Bruyn (2008). le Bruyn, Lieven (2008), Klein's dessins d'enfant and the buckyball.

semanticscholar.org

api.semanticscholar.org

Klein (1879). Klein, Felix (1879), "Ueber die Transformation elfter Ordnung der elliptischen Functionen (On the eleventh order transformation of elliptic functions)", Mathematische Annalen, 15 (3–4): 533–555, doi:10.1007/BF02086276, S2CID 120316938, collected as pp. 140–165 in Oeuvres, Tome 3 Archived 19 July 2011 at the Wayback Machine.
Klein (1878–1879a); Klein (1878–1879b). Klein, Felix (1878–79), "Über die Transformation der elliptischen Funktionen und die Auflösung der Gleichungen fünften Grades (On the transformation of elliptic functions and ...)", Mathematische Annalen, 14: 13–75 (in Oeuvres, Tome 3), doi:10.1007/BF02297507, S2CID 121056952, archived from the original on 19 July 2011, retrieved 2 June 2010. Klein, Felix (1878–79), "Über die Transformation siebenter Ordnung der elliptischen Funktionen (On the seventh order transformation of elliptic functions)", Mathematische Annalen, 14: 90–135 (in Oeuvres, Tome 3), doi:10.1007/BF01677143, S2CID 121407539, archived from the original on 24 February 2012, retrieved 9 July 2010.

univie.ac.at

radon.mat.univie.ac.at

Hamilton (1856). See also Jones (1995). Hamilton, W. R. (17 October 1856), Letter to John T. Graves "On the Icosian". Collected in Halberstam, H.; Ingram, R. E., eds. (1967), Mathematical papers, Vol. III, Algebra, Cambridge: Cambridge University Press, pp. 612–625. Jones, Gareth (1995), "Dessins d'enfants: bipartite maps and Galois groups", Séminaire Lotharingien de Combinatoire, B35d: 4, archived from the original on 8 April 2017, retrieved 2 June 2010.

web.archive.org

Hamilton (1856). See also Jones (1995). Hamilton, W. R. (17 October 1856), Letter to John T. Graves "On the Icosian". Collected in Halberstam, H.; Ingram, R. E., eds. (1967), Mathematical papers, Vol. III, Algebra, Cambridge: Cambridge University Press, pp. 612–625. Jones, Gareth (1995), "Dessins d'enfants: bipartite maps and Galois groups", Séminaire Lotharingien de Combinatoire, B35d: 4, archived from the original on 8 April 2017, retrieved 2 June 2010.
Klein (1879). Klein, Felix (1879), "Ueber die Transformation elfter Ordnung der elliptischen Functionen (On the eleventh order transformation of elliptic functions)", Mathematische Annalen, 15 (3–4): 533–555, doi:10.1007/BF02086276, S2CID 120316938, collected as pp. 140–165 in Oeuvres, Tome 3 Archived 19 July 2011 at the Wayback Machine.
Klein (1878–1879a); Klein (1878–1879b). Klein, Felix (1878–79), "Über die Transformation der elliptischen Funktionen und die Auflösung der Gleichungen fünften Grades (On the transformation of elliptic functions and ...)", Mathematische Annalen, 14: 13–75 (in Oeuvres, Tome 3), doi:10.1007/BF02297507, S2CID 121056952, archived from the original on 19 July 2011, retrieved 2 June 2010. Klein, Felix (1878–79), "Über die Transformation siebenter Ordnung der elliptischen Funktionen (On the seventh order transformation of elliptic functions)", Mathematische Annalen, 14: 90–135 (in Oeuvres, Tome 3), doi:10.1007/BF01677143, S2CID 121407539, archived from the original on 24 February 2012, retrieved 9 July 2010.

zbmath.org

This example was suggested by Lando & Zvonkin (2004), pp. 109–110. Lando, Sergei K.; Zvonkin, Alexander K. (2004), Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II, vol. 141, Berlin, New York: Springer-Verlag, ISBN 978-3-540-00203-1, Zbl 1040.05001. See especially chapter 2, "Dessins d'Enfants", pp. 79–153.
Lando & Zvonkin (2004), pp. 120–121. Lando, Sergei K.; Zvonkin, Alexander K. (2004), Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II, vol. 141, Berlin, New York: Springer-Verlag, ISBN 978-3-540-00203-1, Zbl 1040.05001. See especially chapter 2, "Dessins d'Enfants", pp. 79–153.
Lando & Zvonkin (2004), p. 82. Lando, Sergei K.; Zvonkin, Alexander K. (2004), Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II, vol. 141, Berlin, New York: Springer-Verlag, ISBN 978-3-540-00203-1, Zbl 1040.05001. See especially chapter 2, "Dessins d'Enfants", pp. 79–153.
Jones, G. and Streit, M. "Galois groups, monodromy groups and cartographic groups", p. 43 in Schneps & Lochak (2007) pp. 25–66. Zbl 0898.14012
Lando & Zvonkin (2004), pp. 90–91. For the purposes of this example, ignore the parasitic solution $a={\tfrac {25}{21}}$ . Lando, Sergei K.; Zvonkin, Alexander K. (2004), Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II, vol. 141, Berlin, New York: Springer-Verlag, ISBN 978-3-540-00203-1, Zbl 1040.05001. See especially chapter 2, "Dessins d'Enfants", pp. 79–153.
$\Gamma$ acts faithfully even when restricted to dessins that are trees; see Lando & Zvonkin (2004), Theorem 2.4.15, pp. 125–126. Lando, Sergei K.; Zvonkin, Alexander K. (2004), Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II, vol. 141, Berlin, New York: Springer-Verlag, ISBN 978-3-540-00203-1, Zbl 1040.05001. See especially chapter 2, "Dessins d'Enfants", pp. 79–153.
Lando & Zvonkin (2004), pp. 122–123. Lando, Sergei K.; Zvonkin, Alexander K. (2004), Graphs on Surfaces and Their Applications, Encyclopaedia of Mathematical Sciences: Lower-Dimensional Topology II, vol. 141, Berlin, New York: Springer-Verlag, ISBN 978-3-540-00203-1, Zbl 1040.05001. See especially chapter 2, "Dessins d'Enfants", pp. 79–153.

zenodo.org

Klein (1879). Klein, Felix (1879), "Ueber die Transformation elfter Ordnung der elliptischen Functionen (On the eleventh order transformation of elliptic functions)", Mathematische Annalen, 15 (3–4): 533–555, doi:10.1007/BF02086276, S2CID 120316938, collected as pp. 140–165 in Oeuvres, Tome 3 Archived 19 July 2011 at the Wayback Machine.