Unfaithful complex hyperbolic triangle groups, II: Higher order reflections

John R. Parker, Julien Paupert

Research output: Contribution to journalArticle

9 Scopus citations


We consider symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2π/ p, with p ≥ 3. We restrict our attention to those groups where certain words are elliptic. Our goal is to find necessary conditions for such a group to be discrete. The main application we have in mind is that such groups are candidates for nonarithmetic lattices in SU(2, 1).

Original languageEnglish (US)
Pages (from-to)357-389
Number of pages33
JournalPacific Journal of Mathematics
Issue number2
StatePublished - Feb 1 2009
Externally publishedYes


ASJC Scopus subject areas

  • Mathematics(all)

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