Complex hyperbolic triangle groups of type (n, n, ∞; k)

• 神谷 茂保

Bibliographic Information

Other Title

• Representations of Discrete Groups and Geometric Topology on Manifoldss, Josai University

Abstract

type:text

A complex hyperbolic triangle group is a group generated by three complex reflections fixing complex geodesics in complex hyperbolic space. We give a list of non-discrete groups of type (n, n, ∞; k). In particular we show that if n ≥ 14, then complex hyperbolic triangle groups of type (n, n, ∞; k) are not discrete. This is a survey of our results.

identifier:JOS-13447777-1307

Journal

• Josai Mathematical Monographs

  Josai Mathematical Monographs 13 93-107, 2021-03

  城西大学大学院理学研究科

Keywords

• complex hyperbolic space
• complex hyperbolic triangle group

Details

• CRID: 1390572175481454208
• NII Article ID: 120007027897
• NII Book ID: AA1141485X
• ISSN: 13447777
• DOI: 10.20566/13447777_13_93
• Web Site: https://libir.josai.ac.jp/il/meta_pub/G0000284repository_JOS-13447777-1307
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles