上的复双曲三角形群的极限集

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Australian Mathematical Society Pub Date : 2024-02-02 DOI:10.1017/s0004972723001478

MENGQI SHI, JIEYAN WANG

引用次数: 0

摘要

让 $\Gamma =\langle I_{1}, I_{2}, I_{3}\rangle $ 是复双曲 $(4,4,\infty )$ 三角形群，其中 $I_1I_3I_2I_3$ 是单能的。我们证明了 $\Gamma $ 的极限集是连通的，并且是 $\mathbb {R}$ - 圆的可数联盟的闭合。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON THE LIMIT SET OF A COMPLEX HYPERBOLIC TRIANGLE GROUP

Let

$\Gamma =\langle I_{1}, I_{2}, I_{3}\rangle $

be the complex hyperbolic

$(4,4,\infty )$

triangle group with

$I_1I_3I_2I_3$

being unipotent. We show that the limit set of

$\Gamma $

is connected and the closure of a countable union of

$\mathbb {R}$

-circles.

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来源期刊

Bulletin of the Australian Mathematical Society 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

149

审稿时长

4-8 weeks

期刊介绍： Bulletin of the Australian Mathematical Society aims at quick publication of original research in all branches of mathematics. Papers are accepted only after peer review but editorial decisions on acceptance or otherwise are taken quickly, normally within a month of receipt of the paper. The Bulletin concentrates on presenting new and interesting results in a clear and attractive way. Published Bi-monthly Published for the Australian Mathematical Society