On the Integral Cohomology of Bianchi groups
Number Theory
2013-10-08 v2 K-Theory and Homology
Abstract
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.
Keywords
Cite
@article{arxiv.1005.5179,
title = {On the Integral Cohomology of Bianchi groups},
author = {Mehmet Haluk Sengun},
journal= {arXiv preprint arXiv:1005.5179},
year = {2013}
}
Comments
29 pages, many tables. Version 2: Improved the presentation, especially in Section 3