On hyperbolic Coxeter polytopes with mutually intersecting facets

被引：9

作者：

Felikson, Anna ^{[1
]}

Tumarkin, Pavel ^{[1
]}

机构：

[1] Independent Univ Moscow, Moscow 119002, Russia

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES A | 2008年 / 115卷 / 01期

关键词：

Coxeter polytope; missing face; gale diagram; simple polytope;

D O I：

10.1016/j.jcta.2007.04.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, apart from some well-known low-dimensional examples, any compact hyperbolic Coxeter polytope has a pair of disjoint facets. This is one of very few known general results concerning combinatorics of compact hyperbolic Coxeter polytopes. We also obtain a similar result for simple non-compact polytopes. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：121 / 146

页数：26

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