This article is cited in 6 papers

Spherical simplices generating discrete reflection groups

A. A. Felikson

Independent University of Moscow

Abstract: Let $P$ be a simplex in $\mathbb S^n$, and $G_P$ the group generated by reflections with respect to the faces of $P$. This paper considers the question of the conditions ensuring that $G_P$ is discrete. The main result is a description of all indecomposable spherical simplices generating discrete reflection groups.

UDC: 512.817.72+514.174.5

MSC: 20F55, 51F15

Received: 23.12.2002

DOI: 10.4213/sm816

 English version: Sbornik: Mathematics, 2004, 195:4, 585–598

Bibliographic databases:

• 
• 
• 
• 
•