Discreteness Criterions of Isometric Subgroups for Quaternionic Hyperbolic Space |
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Authors: | Daeyong Kim |
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Affiliation: | (1) School of Mathematical Sciences, Seoul National University, Seoul, 151747, Korea. e-mail |
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Abstract: | In this paper, we give analogue of Jörgensen's inequality for nonelementary groups of isometries of complex hyperbolic 2-space generated by two elements, one of which is either loxodromic or boundary elliptic for the same group of isometries of quaternionic hyperbolic 2-space. And we give a sufficient condition for a nonelementary subgroup of isometries of quaternionic hyperbolic 2-space generated by two elements one of which is parabolic not to be discrete. |
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Keywords: | discrete group quaternionic hyperbolic |
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