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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7135| Title: | On free group generated by two Heisenberg translations |
| Authors: | KALANE, SAGAR B. Tiwari, Devendra Dept. of Mathematics |
| Keywords: | Free group Heisenberg translation Discreteness 2022-JUN-WEEK4 TOC-JUN-2022 2022 |
| Issue Date: | Jun-2022 |
| Publisher: | Springer Nature |
| Citation: | Proceedings - Mathematical Sciences, 132, 38. |
| Abstract: | Let A and B be two Heisenberg translations of PU(2,1). In this paper, we will discuss the groups ⟨A,B⟩ generated by two non-commuting Heisenberg translations and determine when they are free. The main result of the paper improves an assertion made by Xie et al. (Canad. Math. Bull. 56(4) (2013) 881–889). We also extend the improved result for two Heisenberg translations in PSp(2,1). |
| URI: | https://doi.org/10.1007/s12044-022-00691-6 http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/7135 |
| ISSN: | 0253-4142 0973-7685 |
| Appears in Collections: | JOURNAL ARTICLES |
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