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.
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页码：191 / 198
页数：7
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