5 citations · 9 across the 9 of their papers we have counts for
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Automorphism groups of dessins d'enfants
Ruben A. Hidalgo
Recently, Gareth Jones observed that every finite group can be realized as the group of automorphisms of some dessin d'enfant . In this paper, complementing Garet…
Regular dessins d'enfants with dicyclic group of automorphisms
Rubén A. Hidalgo, Saúl Quispe
Let be the dicyclic group of order . We observe that, up to isomorphisms, (i) for even there is exactly one regular dessin d'enfant with automorphism group $…
Weierstrass weight of the hyperosculating points of generalized Fermat curves
Rubén A. Hidalgo, Maximiliano Leyton-Álvarez
Let be a generalized Fermat pair of the type . If is the set of fixed points of the non-trivial elements of the group , then is exactly the set o…
On neoclassical Schottky groups
Ruben A. Hidalgo, Bernard Maskit
The goal of this paper is to describe a theoretical construction of an infinite collection of non-classical Schottky groups. We first show that there are infinitely many non-classi…
A sufficiently complicated noded Schottky group of rank three
Ruben A. Hidalgo
The theoretical existence of non-classical Schottky groups is due to Marden. Explicit examples of such kind of groups are only known in rank two, the first one by by Yamamoto in 19…