On the Integral Cohomology of Bianchi Groups

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 into several aspects, including the asymptotic behavior of the torsion in the first homology. Along wit...

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Bibliographic Details
Published in:	Experimental mathematics Vol. 20; no. 4; pp. 487 - 505
Main Author:	Şengün, Mehmet Haluk
Format:	Journal Article
Language:	English
Published:	Taylor & Francis Group 28-11-2011 A K Peters, Ltd
Subjects:	11F41 11F75 22E40 Bianchi groups cuspidal cohomology Primary 11F41 Secondary 22E40 torsion homology
Online Access:	Get full text
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Summary:	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 into several aspects, including the asymptotic behavior of the torsion in the first homology. Along with the experimental work, some basic properties of the integral cohomology are recorded with an eye toward the liftability issue of Hecke eigenvalue systems.
ISSN:	1058-6458 1944-950X
DOI:	10.1080/10586458.2011.594671