Complex hyperbolic triangle groups with 2-fold symmetry

<div class="WordSection1"><p>In this paper we will consider the 2-fold symmetric complex hy­perbolic triangle groups generated by three complex reflections through angle 2<em>Π</em>/p with p <span class="4"><span lang="EN-US">≥</sp...

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Bibliographic Details
Main Authors: Джон Р. Паркер, Лі-Джі Сан
Format: Article
Language:English
Published: Odesa National University of Technology 2017-08-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:http://journals.gsjp.eu/index.php/geometry/article/view/547
Description
Summary:<div class="WordSection1"><p>In this paper we will consider the 2-fold symmetric complex hy­perbolic triangle groups generated by three complex reflections through angle 2<em>Π</em>/p with p <span class="4"><span lang="EN-US">≥</span></span> 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.</p></div>
ISSN:2072-9812
2409-8906