Hecke triangle Groups and Dessin d'enfant

2021/12/13 by Devendra Tiwari, Tiwari, Devendra
Mathematics · #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.2112.06770

Abstract

In this work we will construct bipartite graphs, famously known as Dessin d'enfant, corresponding to finite index subgroups of Hecke triangle groups (2, q, ∞ ). Then using a results of \citell we shall show the correspondences among the special polygons, the bi-partite graph, and the tree diagram for a finite index subgroup of the Hecke triangle groups (2, q, ∞ ).

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