Geodesic
Hyperbolic jigsaws and families of pseudomodular groups, I
Lou, Beicheng1 ; Tan, Ser1 ; Vo, Anh Duc1
1 Department of Mathematics, National University of Singapore, Singapore
Geometry & topology, Tome 22 (2018) no. 4, pp. 2339-2366.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We show that there are infinitely many commensurability classes of pseudomodular groups, thus answering a question raised by Long and Reid. These are Fuchsian groups whose cusp set is all of the rationals but which are not commensurable to the modular group. We do this by introducing a general construction for the fundamental domains of Fuchsian groups obtained by gluing together marked ideal triangular tiles, which we call hyperbolic jigsaw groups.

DOI : 10.2140/gt.2018.22.2339
Classification : 11F06, 20H05, 20H15, 30F35, 30F60, 57M05, 57M50
Keywords: pseudomodular, killer intervals, hyperbolic jigsaw, marked ideal triangle

Lou, Beicheng 1 ; Tan, Ser 1 ; Vo, Anh Duc 1

1 Department of Mathematics, National University of Singapore, Singapore 
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Lou, Beicheng; Tan, Ser; Vo, Anh Duc. Hyperbolic jigsaws and families of pseudomodular groups, I. Geometry & topology, Tome 22 (2018) no. 4, pp. 2339-2366. doi : 10.2140/gt.2018.22.2339. http://geodesic.mathdoc.fr/articles/10.2140/gt.2018.22.2339/

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