Discreteness criterions of isometric subgroups for quaternionic hyperbolic space.
type: Item
instance of: scholarly article
title: Discreteness criterions of isometric subgroups for quaternionic hyperbolic space.
zbMATH Open document ID: 1086.20025
author: Daeyong Kim
published in: Geometriae Dedicata
publication date: 2005-04-07T00:00:00Z
review text: The author gives an analogue of Jørgensen's inequality for non-elementary groups of isometries of complex hyperbolic 2-space generated by two elements, one is either loxodromic or boundary elliptic for the same group of isometries of quaternionic hyperbolic 2-space. This is an ex-problem regarding two generator discrete groups since Jørgensen's inequality was given in 1970. He gives a sufficient condition for a non-elementary subgroup of isometries of quaternionic hyperbolic 2-space generated by two elements one of which is parabolic not to be discrete.
Mathematics Subject Classification ID: 20H10
Mathematics Subject Classification ID: 20H05
Mathematics Subject Classification ID: 30F35
Mathematics Subject Classification ID: 30F40
Mathematics Subject Classification ID: 57S30
zbMATH DE Number: 2153901
zbMATH Keywords: quaternionic hyperbolic spaces
zbMATH Keywords: discrete groups
zbMATH Keywords: discreteness criteria
zbMATH Keywords: Jørgensen inequality
reviewed by: Ismail Naci Cangül
MaRDI profile type: Publication
full work available at URL: b:geom.0000033842.14743.9d
OpenAlex ID: W1978033857
DOI: 10.1023/B:GEOM.0000033842.14743.9D
description: scientific article; zbMATH DE number 2153901