TY - JOUR
T1 - Unfaithful complex hyperbolic triangle groups, III
T2 - Arithmeticity and commensurability
AU - Paupert, Julien
N1 - Copyright:
Copyright 2010 Elsevier B.V., All rights reserved.
PY - 2010/4
Y1 - 2010/4
N2 - 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).
AB - 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).
KW - Complex hyperbolic geometry
KW - Complex reflection groups
KW - Nonarithmetic lattices
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U2 - 10.2140/pjm.2010.245.359
DO - 10.2140/pjm.2010.245.359
M3 - Article
AN - SCOPUS:77954119480
VL - 245
SP - 359
EP - 372
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
SN - 0030-8730
IS - 2
ER -