Article ID Journal Published Year Pages File Type
4601372 Linear Algebra and its Applications 2010 10 Pages PDF
Abstract

et f and g be two elliptic elements in PU(2,1). We prove that if the distance δ(f,g) between the complex lines or points fixed by f and g is large than a certain number, then the group 〈f,g〉 is discrete non-elementary and isomorphic to the free product 〈f〉∗〈g〉.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory