Kulkarni limit sets for cyclic quaternionic projective groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913052427812864 |
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| author | Dutta, Sandipan Gongopadhyay, Krishnendu Mondal, Rahul |
| author_facet | Dutta, Sandipan Gongopadhyay, Krishnendu Mondal, Rahul |
| contents | We consider the natural action of the quaternionic projective linear group $\mathrm{PSL}(n+1,\mathbb{H})$ on the quaternionic projective space $\mathbb{P}^n_{\mathbb{H}}$. We compute the Kulkarni limit sets for the cyclic subgroups of $\mathrm{PSL}(n+1,\mathbb{H})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_11968 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Kulkarni limit sets for cyclic quaternionic projective groups Dutta, Sandipan Gongopadhyay, Krishnendu Mondal, Rahul Group Theory Geometric Topology Primary 20H10, Secondary 15B33, 22E40 We consider the natural action of the quaternionic projective linear group $\mathrm{PSL}(n+1,\mathbb{H})$ on the quaternionic projective space $\mathbb{P}^n_{\mathbb{H}}$. We compute the Kulkarni limit sets for the cyclic subgroups of $\mathrm{PSL}(n+1,\mathbb{H})$. |
| title | Kulkarni limit sets for cyclic quaternionic projective groups |
| topic | Group Theory Geometric Topology Primary 20H10, Secondary 15B33, 22E40 |
| url | https://arxiv.org/abs/2505.11968 |