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  • Gongopadhyay, Krishnendu; KALANE, SAGAR B. (Cambridge University Press, 2021-03)
    Let G(n)=Sp(n,1) or SU(n,1) . We classify conjugation orbits of generic pairs of loxodromic elements in G(n) . Such pairs, called ‘nonsingular’, were introduced by Gongopadhyay and Parsad for SU(3,1) . We extend this ...
  • KALANE, SAGAR B.; Tiwari, Devendra (Springer Nature, 2022-06)
    Let A and B be two Heisenberg translations of PU(2,1). In this paper, we will discuss the groups ⟨A,B⟩ generated by two non-commuting Heisenberg translations and determine when they are free. The main result of the paper ...
  • KALANE, SAGAR B.; Parker, John R. (Springer Nature, 2023-01)
    In this paper we consider a group generated by two unipotent parabolic elements of SU(2,1) with distinct fixed points. We give several conditions that guarantee the group is discrete and free. We also give a result on the ...

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