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Free Groups Generated by Two Heisenberg Translations

  • BaoHua Xie (a1), JieYan Wang (a1) and YuePing Jiang (a1)
Abstract.

In this paper, we will discuss the groups generated by two Heisenberg translations of PU(2, 1) and determine when they are free.

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References
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[2] Chang, B., Jenning, S. A., and Ree, R., On certain pairs of matrices which generate free groups. Canad. J. Math. 10 (1958), 279284. http://dx.doi.org/10.4153/CJM-1958-029-2
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[9] Schwartz, R. E., Ideal triangle groups, dented tori, and numerical analysis. Ann. of Math. 153 (2001), no. 3, 533598. http://dx.doi.org/10.2307/2661362
[10] Xie, B. and Jiang, Y.,Groups generated by two elliptic elements in PU(2; 1). Linear Algebra Appl. 433 (2010), no. 1112, 21682177. http://dx.doi.org/10.1016/j.laa.2010.07.028
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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