Deforming the -Fuchsian (4, 4, 4)-triangle group into a lattice

• Autores: Martin Deraux
• Localización: Topology, ISSN 0040-9383, Vol. 45, Nº 6, 2006, pág. 989
• Idioma: inglés
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• Resumen

  • We prove that the last discrete deformation of the -Fuchsian (4, 4, 4)-triangle group in PU(2,1) is a cocompact arithmetic lattice. We also describe an experimental method for finding the combinatorics of a Dirichlet fundamental domain, and apply it to the lattice in question.