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math.GR2025
Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature
Krishnendu Gongopadhyay, Sagar B. Kalane
Let denote the isometry group of quaternionic hyperbolic --space $\h^n$. A pair is \emph{strongly doubly reversible} if $(g…
math.GR2025
Free and discrete subgroups generated by two quaternionic Heisenberg translations
Sagar B. Kalane, I. D. Platis
Let and be two Heisenberg translations of with distinct fixed points. We provide sufficient conditions that guarantee the subgroup i…
math.GR2020
On Free Group Generated by Two Heisenberg Translations
Sagar B. Kalane, Devendra Tiwari
In this paper, we will discuss the groups generated by two Heisenberg translations of and determine when they are free. We improve a result given in \cite{xwy} by…