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Free groups generated by two parabolic maps

Kalane, Sagar B; Parker, John R

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Sagar B Kalane


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.


Kalane, S. B., & Parker, J. R. (2023). Free groups generated by two parabolic maps. Mathematische Zeitschrift, 303, Article 9.

Journal Article Type Article
Acceptance Date Sep 27, 2022
Online Publication Date Dec 5, 2022
Publication Date 2023
Deposit Date Sep 27, 2022
Publicly Available Date Dec 7, 2022
Journal Mathematische Zeitschrift
Print ISSN 0025-5874
Electronic ISSN 1432-1823
Publisher Springer
Peer Reviewed Peer Reviewed
Volume 303
Article Number 9
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Published Journal Article (421 Kb)

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