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arXiv · 2509.25349

Free and discrete subgroups generated by two quaternionic Heisenberg translations

Sagar B. Kalane·I. D. Platis
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Abstract

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.

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Sagar B. Kalane, I. D. Platis. 2025-09-29. Free and discrete subgroups generated by two quaternionic Heisenberg translations. https://arxiv.org/abs/2509.25349

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