The computation of Belyi pairs of 6-edged dessins d'enfants of genus~3 with automorphism groups of order~12 and~3
Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 137-148
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In this article, we study dessins d'enfants of genus three with six edges and only one vertex, having group of automorphisms of order at least three. We find all such dessins and explain the method of the enumeration.
For each of them the Belyi pair is computed.
@article{FPM_2007_13_6_a7,
author = {B. S. Bychkov and V. A. Dremov and E. M. Epifanov},
title = {The computation of {Belyi} pairs of 6-edged dessins d'enfants of genus~3 with automorphism groups of order~12 and~3},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {137--148},
publisher = {mathdoc},
volume = {13},
number = {6},
year = {2007},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a7/}
}
TY - JOUR AU - B. S. Bychkov AU - V. A. Dremov AU - E. M. Epifanov TI - The computation of Belyi pairs of 6-edged dessins d'enfants of genus~3 with automorphism groups of order~12 and~3 JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2007 SP - 137 EP - 148 VL - 13 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a7/ LA - ru ID - FPM_2007_13_6_a7 ER -
%0 Journal Article %A B. S. Bychkov %A V. A. Dremov %A E. M. Epifanov %T The computation of Belyi pairs of 6-edged dessins d'enfants of genus~3 with automorphism groups of order~12 and~3 %J Fundamentalʹnaâ i prikladnaâ matematika %D 2007 %P 137-148 %V 13 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a7/ %G ru %F FPM_2007_13_6_a7
B. S. Bychkov; V. A. Dremov; E. M. Epifanov. The computation of Belyi pairs of 6-edged dessins d'enfants of genus~3 with automorphism groups of order~12 and~3. Fundamentalʹnaâ i prikladnaâ matematika, Tome 13 (2007) no. 6, pp. 137-148. http://geodesic.mathdoc.fr/item/FPM_2007_13_6_a7/