arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1702.04888math.ATmath.GT
收藏

具有2重对称性的复双曲三角群

Complex Hyperbolic Triangle Groups with 2-fold Symmetry

John R. Parker, Li-Jie Sun

摘要:

本文考虑了由三个复反射通过角2 π/p生成的2重对称复双曲三角形群,其中p不小于2。我们将主要集中于某些元素是有穷级椭圆的群。然后,我们将分类所有这样的群体是离散的候选人。只有四种类型。

英文摘要:

In this paper we will consider the 2-fold symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2pi/p with p no smaller than 2. We will mainly concentrate on the groups where some elements are elliptic of finite order. Then we will classify all such groups which are candidates for being discrete. There are only 4 types.

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。

↑