Complex hyperbolic triangle groups with 2-fold symmetry

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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Main Authors: Джон Р. Паркер, Лі-Джі Сан
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2017-08-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
complex hyperbolic triangle groups
discreteness
Online Access:http://journals.gsjp.eu/index.php/geometry/article/view/547
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spelling doaj-9ea28320a21d4cc4b4e72ff6fc4285902020-11-24T22:20:59ZrusOdessa National Academy of Food TechnologiesPracì Mìžnarodnogo Geometričnogo Centru 2072-98122409-89062017-08-0111010.15673/tmgc.v1i10.547507Complex hyperbolic triangle groups with 2-fold symmetryДжон Р. Паркер0Лі-Джі Сан1UNIVERSITY OF DURHAMTOKYO INSTITUTE OF TECHNOLOGY<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>http://journals.gsjp.eu/index.php/geometry/article/view/547complex hyperbolic triangle groupsdiscreteness
collection DOAJ
language Russian
format Article
sources DOAJ
author Джон Р. Паркер
Лі-Джі Сан
spellingShingle Джон Р. Паркер
Лі-Джі Сан
Complex hyperbolic triangle groups with 2-fold symmetry
Pracì Mìžnarodnogo Geometričnogo Centru
complex hyperbolic triangle groups
discreteness
author_facet Джон Р. Паркер
Лі-Джі Сан
author_sort Джон Р. Паркер
title Complex hyperbolic triangle groups with 2-fold symmetry
title_short Complex hyperbolic triangle groups with 2-fold symmetry
title_full Complex hyperbolic triangle groups with 2-fold symmetry
title_fullStr Complex hyperbolic triangle groups with 2-fold symmetry
title_full_unstemmed Complex hyperbolic triangle groups with 2-fold symmetry
title_sort complex hyperbolic triangle groups with 2-fold symmetry
publisher Odessa National Academy of Food Technologies
series Pracì Mìžnarodnogo Geometričnogo Centru
issn 2072-9812
2409-8906
publishDate 2017-08-01
description <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>
topic complex hyperbolic triangle groups
discreteness
url http://journals.gsjp.eu/index.php/geometry/article/view/547
work_keys_str_mv AT džonrparker complexhyperbolictrianglegroupswith2foldsymmetry
AT lídžísan complexhyperbolictrianglegroupswith2foldsymmetry
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