Unfaithful complex hyperbolic triangle groups, III

Arithmeticity and commensurability

Julien Paupert

Research output: Contribution to journal › Article

6 Citations (Scopus)

Abstract

We prove that the so-called sporadic complex reflection triangle groups in SU(2, 1) are all nonarithmetic but one, and that they are not commensurable to Mostow or Picard lattices (with a small list of exceptions). This provides an infinite list of potential new nonarithmetic lattices in SU(2, 1).

Original languageEnglish (US)
Pages (from-to)359-372
Number of pages14
JournalPacific Journal of Mathematics
Volume245
Issue number2
DOIs
StatePublished - Apr 2010
Externally publishedYes

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Triangle Group
Hyperbolic Groups
Reflection Group
Exception

Keywords

  • Complex hyperbolic geometry
  • Complex reflection groups
  • Nonarithmetic lattices

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Unfaithful complex hyperbolic triangle groups, III : Arithmeticity and commensurability. / Paupert, Julien.

In: Pacific Journal of Mathematics, Vol. 245, No. 2, 04.2010, p. 359-372.

Research output: Contribution to journal › Article

Paupert, J 2010, 'Unfaithful complex hyperbolic triangle groups, III: Arithmeticity and commensurability', Pacific Journal of Mathematics, vol. 245, no. 2, pp. 359-372. https://doi.org/10.2140/pjm.2010.245.359
Paupert J. Unfaithful complex hyperbolic triangle groups, III: Arithmeticity and commensurability. Pacific Journal of Mathematics. 2010 Apr;245(2):359-372. https://doi.org/10.2140/pjm.2010.245.359
Paupert, Julien. / Unfaithful complex hyperbolic triangle groups, III : Arithmeticity and commensurability. In: Pacific Journal of Mathematics. 2010 ; Vol. 245, No. 2. pp. 359-372.
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