The cohomology of Bestvina-Brady groups

被引：13

作者：

Leary, Ian J. ^{[1
,2
]}

Saadetoglu, Muge ^{[2
,3
]}

机构：

[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA

[2] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England

[3] Eastern Mediterranean Univ, Dept Math, AS277, Gazimagusa 10, Mersin, Turkey

来源：

GROUPS GEOMETRY AND DYNAMICS | 2011年 / 5卷 / 01期

基金：

美国国家科学基金会;

关键词：

Cohomological dimension; cohomology ring; Bestvina-Brady group; Artin group; SIGMA-INVARIANTS; SUBGROUPS; HOMOLOGY;

D O I：

10.4171/GGD/118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For each subcomplex of the standard CW-structure on any torus, we compute the homology of a certain infinite cyclic regular covering space. In all cases when the homology is finitely generated, we also compute the cohomology ring. For aspherical subcomplexes of the torus, our computation gives the homology of the groups introduced by M. Bestvina and N. Brady in [3]. We compute the cohomological dimension of each of these groups.

引用

页码：121 / 138

页数：18

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