Free and discrete subgroups generated by two quaternionic Heisenberg translations
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918150895828992 |
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| author | Kalane, Sagar B. Platis, I. D. |
| author_facet | Kalane, Sagar B. Platis, I. D. |
| contents | Let $A$ and $B$ be two Heisenberg translations of ${\rm Sp}(2,1)$ with distinct fixed points. We provide sufficient conditions that guarantee the subgroup $\langle A, B \rangle $ is discrete and free by using Klein's combination theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_25349 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Free and discrete subgroups generated by two quaternionic Heisenberg translations Kalane, Sagar B. Platis, I. D. Group Theory Primary 22E40, Secondary 51M10, 32M15, 20H10 Let $A$ and $B$ be two Heisenberg translations of ${\rm Sp}(2,1)$ with distinct fixed points. We provide sufficient conditions that guarantee the subgroup $\langle A, B \rangle $ is discrete and free by using Klein's combination theorem. |
| title | Free and discrete subgroups generated by two quaternionic Heisenberg translations |
| topic | Group Theory Primary 22E40, Secondary 51M10, 32M15, 20H10 |
| url | https://arxiv.org/abs/2509.25349 |