On the cohomology of generalized triangle groups

被引：0

作者：

Ellis, G ^{[1
]}

Williams, G

机构：

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

[2] Univ Kent, Inst Math Stat & Actuarial Sci, Canterbury CT2 7NF, Kent, England

来源：

COMMENTARII MATHEMATICI HELVETICI | 2005年 / 80卷 / 03期

关键词：

cohomology; resolution; triangle group; generalized triangle group;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe a general approach to constructing small free Z Gamma-resolutions for certain infinite isometry groups Gamma. We apply the method to a class of generalized triangle groups and use the resolution to compute the integral homology of these groups. In illustrating the method we also obtain resolutions for the classical triangle groups and for their infinite cyclic central extensions, considered previously by Strebel.

引用

页码：571 / 591

页数：21

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