English

Free and discrete subgroups generated by two quaternionic Heisenberg translations

Group Theory 2025-10-01 v1

Abstract

Let AA and BB be two Heisenberg translations of Sp(2,1){\rm Sp}(2,1) with distinct fixed points. We provide sufficient conditions that guarantee the subgroup A,B\langle A, B \rangle is discrete and free by using Klein's combination theorem.

Keywords

Cite

@article{arxiv.2509.25349,
  title  = {Free and discrete subgroups generated by two quaternionic Heisenberg translations},
  author = {Sagar B. Kalane and I. D. Platis},
  journal= {arXiv preprint arXiv:2509.25349},
  year   = {2025}
}

Comments

18 pages