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Title: | Free groups generated by two parabolic maps |
Authors: | KALANE, SAGAR B. Parker, John R. Dept. of Mathematics |
Keywords: | Complex hyperbolic geometry Heisenberg translations Discreteness 2023-JAN-WEEK2 TOC-JAN-2023 2023 |
Issue Date: | Jan-2023 |
Publisher: | Springer Nature |
Citation: | Mathematische Zeitschrift, 303(1), 9. |
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. |
URI: | https://doi.org/10.1007/s00209-022-03160-y http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7560 |
ISSN: | 0025-5874 1432-1823 |
Appears in Collections: | JOURNAL ARTICLES |
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