Poly-freeness of even Artin groups of FC type

Poly-freeness of even Artin groups of FC type
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FC型偶Artin基团的聚游离度

DOI:
10.4171/ggd/486
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发表时间:
2017
期刊:
Groups, Geometry, and Dynamics
影响因子:
--
通讯作者:
L. Paris
L. Paris
中科院分区:
--
文献类型:
--
作者:
Rubén Blasco;C. Martínez‐Perez;L. Paris

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代数和几何技术之间的相互作用最富有成效的群族之一是Artin群,也被称为artints群或广义辫群。很少有论及所有亚族的著作,其理论主要是关于或多或少扩展的亚族的研究。直角Artin群亚族是研究最多的一个亚族,特别是因为它们在群的同源性(Bestvina - Brady[4])和低维拓扑(Haglund-Wise[12]和Agol[1])中的应用。我们参考Charney[7]对这些组的介绍性调查。
One of the families of groups where the interaction between algebraic and geometric techniques has been most fruitful is the family of Artin groups, also known as ArtinTits groups or generalized braid groups. There are very few works dealing with all the Artin groups, and the theory mainly consists on the study of more or less extended subfamilies. The subfamily of right-angled Artin groups is one of the most studied, in particular because of they resounding applications in homology of groups by Bestvina– Brady [4] and in low dimensional topology by Haglund–Wise [12] and Agol [1]. We refer to Charney [7] for an introductory survey on these groups.
直角群甚至 Coxeter 群中的测地线增长
DOI: 10.1016/j.ejc.2012.12.007
发表时间: 2013
影响因子: 1
作者:
Antolín Y
通讯作者: Antolín Y