Topological symmetry groups of complete graphs in the 3-sphere

被引：16

作者：

Flapan, E ^{[1
]}

Naimi, R

Tamvakis, H

机构：

[1] Pomona Coll, Dept Math, Claremont, CA 91711 USA

[2] Occidental Coll, Dept Math, Los Angeles, CA 90041 USA

[3] Brandeis Univ, Dept Math, Waltham, MA 02454 USA

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2006年 / 73卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1112/S0024610705022490

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The orientation preserving topological symmetry group of a graph embedded in the 3-sphere is the subgroup of the automorphism group of the graph consisting of those automorphisms which can be induced by an orientation preserving homeomorphism of the ambient space. We characterize all possible orientation preserving topological symmetry groups of embeddings of complete graphs in the 3-sphere.

引用

页码：237 / 251

页数：15

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