Department of Mathematics, National University of Ireland at Galway,Ireland email Alexander.Rahm@nuigalway.ie
Denote by, with a square-free positive integer, an imaginary quadratic number field, and by its ring of integers. The Bianchi groups are the groups . In the literature, so far there have been no examples of -torsion in the integral homology of the full Bianchi groups, for a prime greater than the order of elements of finite order in the Bianchi group, which is at most 6. However, extending the scope of the computations, we can observe examples of torsion in the integral homology of the quotient space, at prime numbers as high as for instance at the discriminant .
(Received January 18 2013)
(Revised May 16 2013)
(Online publication September 2013)
2010 Mathematics Subject Classification
Funded by the Irish Research Council.