Cohomological properties of the profinite completion of Bianchi groups

Abstract

We prove that the Bianchi groups, that is the groups PSL(2,O) where O is the ring of integers in an imaginary quadratic number field, are good. This is a property introduced by J.P. Serre which relates the cohomology groups of a group to those of its profinite completion. We also develop properties of goodness to be able to show that certain natural central… (More)

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Cite this paper

@inproceedings{Grunewald2007CohomologicalPO, title={Cohomological properties of the profinite completion of Bianchi groups}, author={Fritz Grunewald and Andrei Jaikin-Zapirain and Pavel Zalesskii}, year={2007} }