The orbifold notation for two-dimensional groups

被引：45

作者：

Conway, JH

Huson, DH

机构：

[1] Univ Tubingen, WSI Informat, D-72076 Tubingen, Germany

[2] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

STRUCTURAL CHEMISTRY | 2002年 / 13卷 / 3-4期

关键词：

symmetry; group; notation; classification; two-dimensional;

D O I：

10.1023/A:1015851621002

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

This paper gives a detailed introduction to the orbifold notation for two-dimensional (2-D) symmetry groups. It discusses the correspondence between properties of orbifolds and symmetries in the original surface. The problem of determining a group in situ is addressed. Elementary proofs of the classification of the Euclidean and spherical 2-D symmetry groups are presented.

引用

页码：247 / 257

页数：11