Unfaithful complex hyperbolic triangle groups, II

Higher order reflections

John R. Parker, Julien Paupert

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

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
Volume239
Issue number2
DOIs
StatePublished - Feb 2009
Externally publishedYes

Fingerprint

Triangle Group
Hyperbolic Groups
Higher Order
Angle
Necessary Conditions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Unfaithful complex hyperbolic triangle groups, II : Higher order reflections. / Parker, John R.; Paupert, Julien.

In: Pacific Journal of Mathematics, Vol. 239, No. 2, 02.2009, p. 357-389.

Research output: Contribution to journalArticle

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