Embeddings of right-angled Artin groups into higher-dimensional Thompson groups
Embeddings of right-angled Artin groups into higher-dimensional Thompson groups
复制标题
将直角 Artin 群嵌入到高维 Thompson 群中
DOI：
10.1142/s0219498818501591
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发表时间：
2017
影响因子：
0.8
通讯作者：
Kato Motoko
中科院分区：
文献类型：
--
作者：
稲川有徳;大塚拓洋;石川朋己;石坂昌司;岡田哲男;Kato Motoko
本文通过构造一组嵌入，证明了每个直角Artin群对某些嵌入到维Thompson群中.这是对Belk，Bleak和Matucci先前结果的改进，该结果给出了从直角Artin群到高维Thompson群的一组不同的嵌入。与他们的建筑相比，我们的建筑的目标群体的维度总是较小的。
In this paper, we show that every right-angled Artin group embeds into the-dimensional Thompson groupfor some, by constructing a set of embeddings. This is an improvement of the previous result of Belk, Bleak and Matucci, which gives a different set of embeddings from right-angled Artin groups into higher-dimensional Thompson groups. Compared to their construction, the dimensionof the target group is always smaller with our construction.