Arithmeticity and commensurability of sporadic groups

  title={Arithmeticity and commensurability of sporadic groups},
  author={Julien Paupert},
We prove that the so-called sporadic complex reeection triangle groups in SU(2; 1) are all non-arithmetic but one, and that they are not commensurable to Mostow or Picard lattices (with a small list of exceptions). This provides an innnite list of potential new non-arithmetic lattices in SU(2; 1). 

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Pratoussevitch; Traces in complex hyperbolic triangle groups

  • A. Pr
  • Geometriae Dedicata
  • 2005

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