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arXiv 2202.02244math.GT
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两个抛物映射生成的自由群

Free groups generated by two parabolic maps

Sagar B. Kalane, John R. Parker

摘要:

本文考虑由${\rm SU}(2,1)$中两个具有不同不动点的幂幺抛物元生成的群。我们给出了几个条件,保证该集团是离散的和自由的。我们还给出了Heisenberg群中有限${\mathbb R}$ -圆的直径的一个结果。

英文摘要:

In this paper we consider a group generated by two unipotent parabolic elements of ${\rm SU}(2,1)$ 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 ${\mathbb R}$-circle in the Heisenberg group.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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