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| HAL : hal-00721690, version 1 |
| arXiv : 1207.7133 |
| Fiche détaillée |  Récupérer au format |
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| Higher torsion in the Abelianization of the full Bianchi groups |
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Alexander D. Rahm 1 |
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| (29/07/2012) |
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| Consider the Bianchi groups, namely the SL_2 groups over rings of imaginary quadratic integers. In the literature, there has been so far no example of p-torsion in the integral homology of the full Bianchi groups, for p 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 p = 80737 at the discriminant -1747. |
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| 1 : | Department of Mathematics (NUIG) |
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National University of Ireland at Galway |
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| Domaine | : | Mathématiques/K-théorie et homologie |
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| homology of arithmetic groups – Bianchi groups |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00721690, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00721690 | |
| oai:hal.archives-ouvertes.fr:hal-00721690 | |
| Contributeur : Alexander Rahm | |
| Soumis le : Dimanche 29 Juillet 2012, 19:29:34 | |
| Dernière modification le : Mardi 31 Juillet 2012, 01:38:51 | |
