Williams, G and Ellis, G (2005) On the cohomology of Generalized Triangle Groups. Commentarii Mathematici Helvetici, 80 (3). pp. 571-591. DOI https://doi.org/10.4171/cmh/26
Williams, G and Ellis, G (2005) On the cohomology of Generalized Triangle Groups. Commentarii Mathematici Helvetici, 80 (3). pp. 571-591. DOI https://doi.org/10.4171/cmh/26
Williams, G and Ellis, G (2005) On the cohomology of Generalized Triangle Groups. Commentarii Mathematici Helvetici, 80 (3). pp. 571-591. DOI https://doi.org/10.4171/cmh/26
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | cohomology; resolution; triangle group; generalized triangle group |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 25 May 2012 09:52 |
| Last Modified: | 06 Dec 2024 11:41 |
| URI: | http://repository.essex.ac.uk/id/eprint/2406 |