Abstract
In the paper [12], Yang conjectured that a nonelementary subgroup G of SL(2,C) containing elliptic elements is discrete if for eacch elliptic element g ∈ G the group is discrete, where f ∈ SL(2, C) is a test map being loxodromic or elliptic. By embedding SL(2, C) into U(1, 1;H), we give an affirmative answer to this question. As an application, we show that a nonelementary and nondiscrete subgroup of Isom(H^3) must contain an elliptic element of order at least 3.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
