On the cohomology of generalized triangle groups

Graham J. Ellis

On the cohomology of generalized triangle groups

Graham J. Ellis

Mathematics

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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.

Original language	English (Ireland)
Number of pages	20
Journal	COMMENTARII MATHEMATICI HELVETICI
Volume	80
Publication status	Published - 1 Jan 2005

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Ellis, G;Williams, G

Cite this

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AB - 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.

M3 - Article

VL - 80

JO - COMMENTARII MATHEMATICI HELVETICI

JF - COMMENTARII MATHEMATICI HELVETICI

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On the cohomology of generalized triangle groups

Abstract

Authors (Note for portal: view the doc link for the full list of authors)

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