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DC Field | Value | Language |
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dc.contributor.author | Gongopadhyay, Krishnendu | - |
dc.date.accessioned | 2020-12-24T06:27:02Z | - |
dc.date.available | 2020-12-24T06:27:02Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Bulletin of the Australian Mathematical Society 101(2), pp. 283-293 | en_US |
dc.identifier.other | https://doi.org/10.1017/S000497271900087X | - |
dc.identifier.uri | https://www.cambridge.org/core/journals/bulletin-of-the-australian-mathematical-society/article/abs/on-discreteness-of-subgroups-of-quaternionic-hyperbolic-isometries/50C80C47EAB520FCA9ACA50BDEE667B4 | - |
dc.identifier.uri | http://hdl.handle.net/123456789/3346 | - |
dc.description | Only IISERM authors are available in the record. | - |
dc.description.abstract | Let HnH denote the n -dimensional quaternionic hyperbolic space. The linear group Sp(n,1) acts on HnH by isometries. A subgroup G of Sp(n,1) is called Zariski dense if it neither fixes a point on HnH∪∂HnH nor preserves a totally geodesic subspace of HnH . We prove that a Zariski dense subgroup G of Sp(n,1) is discrete if for every loxodromic element g∈G the two-generator subgroup ⟨f,gfg−1⟩ is discrete, where the generator f∈Sp(n,1) is a certain fixed element not necessarily from G . | en_US |
dc.language.iso | en | en_US |
dc.publisher | Cambridge University Press | en_US |
dc.subject | Hyperbolic space | en_US |
dc.subject | Jørgensen inequality | en_US |
dc.subject | Discreteness | en_US |
dc.subject | Quaternions | en_US |
dc.title | On discreteness of subgroups of quaternionic hyperbolic isometries | en_US |
dc.type | Article | en_US |
Appears in Collections: | Research Articles |
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