Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324-2012

Complex hyperbolic triangle groups with 2-fold symmetry

DOI: 10.15673/tmgc.v1i10.547 (eng)

  • Джон Р. Паркер
  • Лі-Джі Сан

Abstract | Full Text: In this paper we will consider the 2-fold symmetric complex hy­perbolic triangle groups generated by three complex reflections through angle 2Π/p with p ≥ 2. We will mainly concentrate on the groups where some ele­ments are elliptic of finite order. Then we will classify all such groups which are candidates for being discrete. There are only 4 types.

Keywords:

  • complex hyperbolic triangle groups
  • discreteness