Embedding right-angled Artin groups into graph braid groups

被引：0

作者：

Lucas Sabalka

机构：

[1] University of California,Department of Mathematics

来源：

Geometriae Dedicata | 2007年 / 124卷

关键词：

Right-angled Artin group; Graph braid group; Hyperbolic surface subgroup; Primary: 20F36; Secondary: 20F65; 53R80;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We construct an embedding of any right-angled Artin group G(Δ) defined by a graph Δ into a graph braid group. The number of strands required for the braid group is equal to the chromatic number of Δ. This construction yields an example of a hyperbolic surface subgroup embedded in a two strand planar graph braid group.

引用

页码：191 / 198

页数：7

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