Free groups generated by two parabolic maps

Parker, John R.; KALANE, SAGAR B.

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Free groups generated by two parabolic maps

KALANE, SAGAR B.; Parker, John R.

URI: https://doi.org/10.1007/s00209-022-03160-y http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7560 Date: 2023-01

Abstract:

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 diameter of a finite R-circle in the Heisenberg group.

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