Sagar B Kalane
Free groups generated by two parabolic maps
Kalane, Sagar B; Parker, John R
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.
Citation
Kalane, S. B., & Parker, J. R. (2023). Free groups generated by two parabolic maps. Mathematische Zeitschrift, 303, Article 9. https://doi.org/10.1007/s00209-022-03160-y
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 |
DOI | https://doi.org/10.1007/s00209-022-03160-y |
Related Public URLs | https://arxiv.org/abs/2202.02244 |
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