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Hyperbolic Jigsaws and Families of Pseudomodular Groups II

Hyperbolic Jigsaws and Families of Pseudomodular Groups II

Abstract In our previous paper [ 5], we introduced a hyperbolic jigsaw construction and constructed infinitely many noncommensurable, nonuniform, non-arithmetic lattices of $\textrm{PSL}(2,{\mathbb R})$ with cusp set $\mathbb{Q} \cup \{\infty \}$ (called pseudomodular groups by Long and Reid [ 4]), thus answering a question posed by Long and Reid. In …