The K(π, 1) conjecture for a class of Artin groups

被引：11

作者：

Ellis, Graham ^{[1
]}

Skoldberg, Emil ^{[1
]}

机构：

[1] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

COMMENTARII MATHEMATICI HELVETICI | 2010年 / 85卷 / 02期

关键词：

Artin group; Eilenberg-Mac Lane space; cohomology groups; HYPERPLANE COMPLEMENTS; BRAID-GROUPS;

D O I：

10.4171/CMH/200

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Salvetti constructed a cellular space B-D for any Artin group A(D) defined by a Coxeter graph D. We show that B-D is an Eilenberg-Mac Lane space if B-D' is an Eilenberg-Mac Lane space for every subgraph D' of D involving no infinity-edges.

引用

页码：409 / 415

页数：7

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