- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 On discreteness of M\"{o}bius groups Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 747-752 https://doi.org/10.4134/BKMS.2013.50.3.747Printed May 31, 2013 Xi Fu Shaoxing University Abstract : It's known that one could use a fixed loxodromic or parabolic element in $M(\overline \br^n)$ as a test map to test the discreteness of a non-elementary M\"{o}bius group $G$. In this paper, we discuss the discreteness of $G$ by using a fixed elliptic element. Keywords : discreteness, elliptic elements, loxodromic elements MSC numbers : Primary 30F40; Secondary 20H10, 57S30 Downloads: Full-text PDF