Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k)

Author:

Kamiya Shigeyasu,Parker John R.,Thompson James M.

Abstract

AbstractA complex hyperbolic triangle group is a group generated by three involutions fixing complex lines in complex hyperbolic space. Our purpose in this paper is to improve a previous result and to discuss discreteness of complex hyperbolic triangle groups of type (n, n, ∞; k).

Publisher

Canadian Mathematical Society

Subject

General Mathematics

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Shimizu's lemma for classical groups;Proceedings of the London Mathematical Society;2018-06-22

2. Complex hyperbolic triangle groups with 2-fold symmetry;Proceedings of the International Geometry Center;2017-08-13

3. Note on non-discrete complex hyperbolic triangle groups of type $(n,n,\infty;k)$ II;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2017-07-01

4. Notes on complex hyperbolic triangle groups of type (m, n, ∞);Advances in Geometry;2017-03-01

5. Note on non-discrete complex hyperbolic triangle groups of type $(n,n,\infty;k)$;Proceedings of the Japan Academy, Series A, Mathematical Sciences;2013-08-01

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