On the Integral Cohomology of Bianchi groups

Details On the Integral Cohomology of Bianchi groups On the Integral Cohomology of Bianchi groups

2010-05-27

arxiv.org/abs/1005.5179v2

Mathematics

Number Theory

29 pages, many tables. Version 2: Improved the presentation, especially in Section 3

Scientific paper

Extensive and systematic machine computations are carried out to investigate the integral cohomology of the Euclidean Bianchi groups and their congruence subgroups. The collected data give insight on several aspects, including the asymptotic behaviour of the torsion in the first homology. Along with the experimental work, some basic properties of the integral cohomology are recorded with an eye towards the liftibility issue of Hecke eigenvalue systems.

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