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 language | English (US) |
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Pages (from-to) | 359-372 |
Number of pages | 14 |
Journal | Pacific Journal of Mathematics |
Volume | 245 |
Issue number | 2 |
DOIs | |
State | Published - Apr 2010 |
Externally published | Yes |
Keywords
- Complex hyperbolic geometry
- Complex reflection groups
- Nonarithmetic lattices
ASJC Scopus subject areas
- General Mathematics