Ellis, Graham, Williams, Gerald (2005) On the cohomology of generalized triangle groups. Commentarii Mathematici Helvetici (CMH), 80 (3). pp. 571-591. ISSN 0010-2571. (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:10471)
| The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. | |
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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 HIGH-POWERED RELATOR; KLEINIAN-GROUPS; FREE PRODUCT; QUOTIENT |
| Subjects: | Q Science > QA Mathematics (inc Computing science) |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Judith Broom |
| Date Deposited: | 05 Sep 2008 22:53 UTC |
| Last Modified: | 20 May 2025 11:31 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/10471 (The current URI for this page, for reference purposes) |
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