Note on the residual finiteness of Artin groups

被引：6

作者：

Blasco-Garcia, Ruben ^{[1
]}

Juhasz, Arye ^{[2
]}

Paris, Luis ^{[3
]}

机构：

[1] Univ Zaragoza, Dept Matemat, E-50009 Zaragoza, Spain

[2] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[3] Univ Bourgogne Franche Comte, CNRS, IMB, UMR 5584, F-21000 Dijon, France

来源：

JOURNAL OF GROUP THEORY | 2018年 / 21卷 / 03期

关键词：

BRAID-GROUPS; LINEARITY;

D O I：

10.1515/jgth-2018-0049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be an Artin group. A partition P of the set of standard generators of A is called admissible if, for all X; Y is an element of P, X not equal Y, there is at most one pair (s, t) is an element of X x Y which has a relation. An admissible partition P determines a quotient Coxeter graph Gamma= P. We prove that, if Gamma= P is either a forest or an even triangle free Coxeter graph and A(X) is residually finite for all X is an element of P, then A is residually finite.

引用

页码：531 / 537

页数：7

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