Groups as automorphisms of dessins d’enfants

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s13398-022-01285-7.pdf (249.39 KB)

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URI: https://hdl.handle.net/10630/24870
DOI: https://doi.org/10.1007/s13398-022-01285-7

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2022-08-01

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Springer

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Facultad de Ciencias

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Álgebra, Geometría y Topología

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Automorfismos

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It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d’enfant. In this paper, we give a constructive and easy proof that the same holds for any countable group by considering non-compact dessins. Moreover, we show that any tame action of a countable group is so realisable.

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Cañas, A., Hidalgo, R.A., Turiel, F.J. et al. Groups as automorphisms of dessins d’enfants. Rev. Real Acad. Cienc. Exactas Fis. Nat. Ser. A-Mat. 116, 160 (2022). https://doi.org/10.1007/s13398-022-01285-7

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Atribución 4.0 Internacional
Except where otherwised noted, this item's license is described as Atribución 4.0 Internacional