On discreteness of M\"{o}bius groups
Bull. Korean Math. Soc. 2013 Vol. 50, No. 3, 747-752
Printed 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
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