JORGENSEN'S INEQUALITY AND COLLARS IN n-DIMENSIONAL QUATERNIONIC HYPERBOLIC SPACE
نویسندگان
چکیده
منابع مشابه
Jørgensen’s Inequality and Collars in n-dimensional Quaternionic Hyperbolic Space
In this paper, we obtain analogues of Jørgensen’s inequality for non-elementary groups of isometries of quaternionic hyperbolic n-space generated by two elements, one of which is loxodromic. Our result gives some improvement over earlier results of Kim [10] and Markham [15]. These results also apply to complex hyperbolic space and give improvements on results of Jiang, Kamiya and Parker [7]. As...
متن کاملJørgensen’s Inequalities and Collars in n-dimensional Quaternionic Hyperbolic Space
Abstract: In this paper, we obtain analogues of Jørgensen’s inequality for non-elementary groups of isometries of quaternionic hyperbolic n-space generated by two elements, one of which is loxodromic. Our result gives some improvement over earlier results of Kim [9], Markham [14] and Cao [2]. These results also apply to complex hyperbolic space and give improvements on results of Jiang, Kamiya ...
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ژورنال
عنوان ژورنال: The Quarterly Journal of Mathematics
سال: 2010
ISSN: 0033-5606,1464-3847
DOI: 10.1093/qmath/haq003