Rank gradient and cost of Artin groups and their relatives

被引：10

作者：

Kar, Aditi ^{[1
]}

Nikolov, Nikolay ^{[1
]}

机构：

[1] Math Inst, Oxford OX1 3LB, England

来源：

GROUPS GEOMETRY AND DYNAMICS | 2014年 / 8卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Rank gradient; cost; Artin groups; L(2)-HOMOLOGY;

D O I：

10.4171/GGD/300

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the rank gradient vanishes for mapping class groups of genus greater than 1, Aut(F-n) for all n, Out(F-n), n >= 3 and any Artin group whose underlying graph is connected. These groups have fixed price 1. We compute the rank gradient and verify that it is equal to the first L-2-Betti number for some classes of Coxeter groups.

引用

页码：1195 / 1205

页数：11

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