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Free groups generated by two parabolic maps

Kalane, Sagar B; Parker, John R

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Authors

Sagar B Kalane



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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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
This article is licensed under a Creative Commons Attribution 4.0 International License, which<br /> permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give<br /> appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence,<br /> and indicate if changes were made. The images or other third party material in this article are included in the<br /> article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is<br /> not included in the article’s Creative Commons licence and your intended use is not permitted by statutory<br /> regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.<br /> To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.





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