On the cohomology of generalized triangle groups | Zendy

Graham Ellis | Zendy; Gerald Williams | Zendy

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On the cohomology of generalized triangle groups

Author(s) -

Graham Ellis,

Gerald Williams

Publication year - 2005

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/26

Subject(s) - mathematics , cohomology , pure mathematics , homology (biology) , exact sequence , resolution (logic) , class (philosophy) , group (periodic table) , biochemistry , chemistry , organic chemistry , artificial intelligence , computer science , gene

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.

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