Sagar B Kalane

collaborators

2 papers

math.GR2025

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature $(n, 1)$

Krishnendu Gongopadhyay, Sagar B. Kalane

Let $\PSp(n,1)$ denote the isometry group of the quaternionic hyperbolic space $H^{n}$ . A pair $(g_{1}, g_{2})$ $\PSp(n,1)$ is \emph{strongly doubly reversible} if $(g_{1}, g_{2})$ an…

math.GR2025

Free and discrete subgroups generated by two quaternionic Heisenberg translations

Sagar B. Kalane, I. D. Platis

Let $A$ and $B$ be two Heisenberg translations of $Sp (2, 1)$ with distinct fixed points. We provide sufficient conditions that guarantee the subgroup $⟨ A, B ⟩$ i…

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature (n,1)

Free and discrete subgroups generated by two quaternionic Heisenberg translations

Strongly Doubly Reversible Pairs in Quaternionic Unitary Group of Signature $(n, 1)$