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The computation of Belyi pairs of 6-edged dessins d’enfants of genus 3 with automorphism groups of order 12 and 3

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Abstract

In this article, we study dessins d’enfants of genus 3 with six edges and only one vertex, having groups of automorphisms of order at least 3. We find all such dessins and explain the method of the enumeration. For each of them the Belyi pair is computed.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    B. S. Bychkov, V. A. Dremov & E. M. Epifanov

Authors
  1. B. S. Bychkov
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  2. V. A. Dremov
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  3. E. M. Epifanov
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 13, No. 6, pp. 137–148, 2007.

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Bychkov, B.S., Dremov, V.A. & Epifanov, E.M. The computation of Belyi pairs of 6-edged dessins d’enfants of genus 3 with automorphism groups of order 12 and 3. J Math Sci 158, 97–105 (2009). https://doi.org/10.1007/s10958-009-9378-2

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  • DOI: https://doi.org/10.1007/s10958-009-9378-2

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