A. Ash, Deformation retracts with lowest possible dimension of arithmetic quotients of self-adjoint homogeneous cones, Mathematische Annalen, vol.91, issue.1, pp.69-76, 1977.
DOI : 10.1007/BF01364892

A. Ash, P. E. Gunnells, and M. Mcconnell, Cohomology of congruence subgroups of SL 4 (Z) MR2630015 [5] , Cohomology of congruence subgroups of SL, ) [6] , Cohomology of congruence subgroups of SL, pp.1811-1831, 2002.

A. Ash and M. Mcconnell, Cohomology at infinity and the well-rounded retract for general linear groups, Duke Math, J, vol.90, issue.3, pp.549-576, 1997.

E. Berkove and A. D. Rahm, of the imaginary quadratic integers, Journal of Pure and Applied Algebra, vol.220, issue.3, pp.944-975, 2016.
DOI : 10.1016/j.jpaa.2015.08.002
URL : https://hal.archives-ouvertes.fr/hal-00769261

E. Berkove, G. Lakeland, and A. D. Rahm, The mod 2 cohomology rings of congruence subgroups in the Bianchi groups
URL : https://hal.archives-ouvertes.fr/hal-01565065

O. Braun, R. Coulangeon, G. Nebe, and S. Schönnenbeck, Computing in arithmetic groups with Vorono??'s algorithm, Journal of Algebra, vol.435, pp.263-285, 2015.
DOI : 10.1016/j.jalgebra.2015.01.022

K. S. Brown, Cohomology of groups, Graduate Texts in Mathematics, vol.87, 1982.

A. B. Brownstein, Homology of Hilbert Modular Groups, 1987.

F. Calegari and B. Mazur, Nearly ordinary Galois deformations over arbitrary number fields, Journal of the Institute of Mathematics of Jussieu, vol.14, issue.01, pp.99-177, 2009.
DOI : 10.1007/BF01231575
URL : http://arxiv.org/pdf/0708.2451

W. Chen and Y. Ruan, A New Cohomology Theory of Orbifold, Communications in Mathematical Physics, vol.156, issue.1, pp.1-31, 2004.
DOI : 10.1007/BF02098485

W. Michael and . Davis, The geometry and topology of Coxeter groups, p.2360474, 2008.

L. Dembélé and J. Voight, Explicit methods for Hilbert modular forms, Elliptic curves, Hilbert modular forms and Galois deformations, Adv. Courses Math. CRM, pp.135-198

G. Mathieu-dutour-sikiri´csikiri´c, A. Ellis, and . Schürmann, On the integral homology of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi mathvariant="normal">PSL</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math> and other arithmetic groups, Journal of Number Theory, vol.131, issue.12, pp.2368-2375, 2011.
DOI : 10.1016/j.jnt.2011.05.018

B. Fantechi and L. Göttsche, Orbifold cohomology for global quotients, Duke Math, Zbl 1086, pp.197-227, 2003.

H. Mathieu-dutour-sikiri?, P. E. Gangl, J. Gunnells, and . Hanke, On the cohomology of linear groups over imaginary quadratic fields, Journal of Pure and Applied Algebra, vol.220, issue.7, pp.2564-2589, 2016.
DOI : 10.1016/j.jpaa.2015.12.002

W. G. Dwyer, Exotic cohomology for GL n (Z[1, Proc. Amer, pp.2159-216757092, 1998.

P. Elbaz, -. Vincent, H. Gangl, and C. Soulé, Perfect forms, K-theory and the cohomology of modular groups, Advances in Mathematics, vol.245, pp.587-624, 2013.
DOI : 10.1016/j.aim.2013.06.014
URL : https://hal.archives-ouvertes.fr/hal-00724128

T. Finis, F. Grunewald, and P. Tirao, The cohomology of lattices in SL, Experiment. Math, vol.2, issue.19 1, pp.29-63, 2010.

H. Glover and H. Henn, On the mod-<mml:math altimg="si165.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>p</mml:mi></mml:math> cohomology of <mml:math altimg="si166.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>O</mml:mi><mml:mi>u</mml:mi><mml:mi>t</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mrow><mml:mi>F</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn><mml:mrow><mml:mo>(</mml:mo><mml:mi>p</mml:mi><mml:mo>???</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msub><mml:mo>)</mml:mo></mml:mrow></mml:math>, Journal of Pure and Applied Algebra, vol.214, issue.6, pp.822-836, 2010.
DOI : 10.1016/j.jpaa.2009.08.012

H. Henn, The cohomology of SL, pp.299-359, 1999.
URL : https://hal.archives-ouvertes.fr/hal-01468907

H. Henn, J. Lannes, and L. Schwartz, Localizations of unstableA-modules and equivariant modp cohomology, Mathematische Annalen, vol.11, issue.1, pp.23-68, 1995.
DOI : 10.1007/BF01446619

F. Klein, Ueber bin???re Formen mit linearen Transformationen in sich selbst, Mathematische Annalen, vol.9, issue.2, pp.183-208, 1875.
DOI : 10.1007/BF01443373

K. P. Knudson, Homology of linear groups, Progress in Mathematics, vol.193, p.1807154, 2001.
DOI : 10.1007/978-3-0348-8338-2

N. Krämer, Die Konjugationsklassenanzahlen der endlichen Untergruppen in der Norm-Eins-Gruppe von Maximalordnungen in Quaternionenalgebren, 1980.

. Fakultät-der-rheinischen-friedrich-wilhelms, [31] , Imaginärquadratische Einbettung von Maximalordnungen rationaler Quaternionenalgebren , und die nichtzyklischen endlichen Untergruppen der Bianchi-Gruppen, preprint, Bonn. Math. Schr, 1984.

S. Grant and . Lakeland, Arithmetic Reflection Groups and Congruence Subgroups, 2012.

J. Mccleary, A user's guide to spectral sequences Cambridge Studies in Advanced Mathematics 58, 2001.

G. Mislin, Tate cohomology for arbitrary groups via satellites, Topology Appl, pp.293-300, 1994.

G. Mislin and A. Valette, Proper group actions and the Baum-Connes conjecture, Zbl 1028, p.46001, 2003.
DOI : 10.1007/978-3-0348-8089-3

A. Stephen and . Mitchell, On the plus construction for BGL Z[ 1 2 ] at the prime 2, Math. Z, vol.209, issue.2, pp.205-22255021, 1992.

F. Perroni and A. D. Rahm, The Chen?Ruan orbifold cohomology of complexified Bianchi orbifolds, in preparation ? to be released soon, to replace the preprint

A. Prestel, Die elliptischen Fixpunkte der Hilbertschen Modulgruppen, Mathematische Annalen, vol.77, issue.3, pp.181-209, 1968.
DOI : 10.1007/BF01350863

D. Quillen, The spectrum of an equivariant cohomology ring. I, II, Ann. of Math, pp.94-549, 1971.

A. D. Rahm, Homology and K-theory of the Bianchi groups (Homologie et K-théorie des groupes de Bianchi, Comptes Rendus Mathématique de l' Académie des Sciences -Paris 349, pp.741-744, 2011.

A. D. Rahm, . Bianchi, and . Gp, Open source program (GNU general public license), validated by the CNRS: http://www.projet-plume.org/fiche/bianchigp subject to the Certificat de Compétences en Calcul Intensif (C3I) and part of the GP scripts library of Pari/GP Development Center, Torsion Subcomplexes package in HAP, a GAP subpackage, 2010.

A. D. Rahm, Accessing the cohomology of discrete groups above their virtual cohomological dimension, Journal of Algebra, vol.404, pp.152-175, 2014.
DOI : 10.1016/j.jalgebra.2014.01.025
URL : https://hal.archives-ouvertes.fr/hal-00618167

A. D. Rahm, The homological torsion of PSL$_2$ of the imaginary quadratic integers, Transactions of the American Mathematical Society, vol.365, issue.3, pp.1603-1635, 2013.
DOI : 10.1090/S0002-9947-2012-05690-X
URL : https://hal.archives-ouvertes.fr/hal-00578383

A. D. Rahm, Sur la K-homologie ??quivariante de PSL_2 sur les entiers quadratiques imaginaires, Annales de l???institut Fourier, vol.66, issue.4, pp.1667-1689, 2016.
DOI : 10.5802/aif.3047

A. D. Rahm, Chen?Ruan orbifold cohomology of the Bianchi orbifolds, preprint, http://hal.archives-ouvertes.fr/hal-00627034/. [49] , Higher torsion in the Abelianization of the full Bianchi groups, LMS J. Comput. Math, pp.16-344, 2013.

A. D. Rahm, M. Haluk, and S. ¸engün, Abstract, LMS Journal of Computation and Mathematics, vol.365, pp.187-199, 2013.
DOI : 10.1016/j.crma.2012.09.001

A. D. Rahm and B. Tuan, Bredon Homology for PSL 4 (Z) and other arithmetic groups, in preparation ? to be released soon

A. D. Rahm and M. Fuchs, The integral homology of <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mstyle mathvariant="normal"><mml:mi>PS</mml:mi></mml:mstyle><mml:msub><mml:mrow><mml:mstyle mathvariant="normal"><mml:mi>L</mml:mi></mml:mstyle></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:math> of imaginary quadratic integers with nontrivial class group, Journal of Pure and Applied Algebra, vol.215, issue.6, pp.1443-1472, 2011.
DOI : 10.1016/j.jpaa.2010.09.005

A. D. Rahm and M. Wendt, On Farrell?Tate cohomology of SL 2 over Sintegers , preprint, submitted, https

A. D. Rahm, M. Wendt, and D. , A refinement of a conjecture of Quillen, Comptes Rendus Mathématique de l, Académie des Sciences, vol.353, issue.9, pp.779-784, 2015.

A. D. Rahm, C. Characteristic-classes, J. Homotopy-relat, and . Struct, Complexifiable characteristic classes, Journal of Homotopy and Related Structures, vol.96, issue.4, pp.537-548, 2014.
DOI : 10.1090/S0002-9939-1960-0121393-3
URL : https://hal.archives-ouvertes.fr/hal-00598236

A. Scheutzow, Computing rational cohomology and Hecke eigenvalues for Bianchi groups, Journal of Number Theory, vol.40, issue.3, pp.317-32811068, 1992.
DOI : 10.1016/0022-314X(92)90004-9

J. Schwermer and K. Vogtmann, The integral homology of SL 2 and PSL 2 of Euclidean imaginary quadratic integers, Comment. Math. Helv, vol.5886, issue.4, pp.573-598, 1983.

J. Serre and N. J. , Prospects in mathematics, MR0385006 [63] , Leprobì eme des groupes de congruence pour SL 2 Zbl 0239, pp.77-169, 1970.

C. Soulé, The cohomology of SL3(Z), Topology, vol.17, issue.1, pp.1-22, 1978.
DOI : 10.1016/0040-9383(78)90009-5

R. G. Swan, The p-period of a finite group, Illinois J. Math, vol.4, pp.341-346, 1960.

K. Vogtmann, Rational homology of Bianchi groups, Mathematische Annalen, vol.19, issue.3, pp.399-419, 1985.
DOI : 10.1007/BF01455567

C. and T. C. Wall, Resolutions for extensions of groups, Mathematical Proceedings of the Cambridge Philosophical Society, vol.57, issue.02, pp.251-255, 1961.
DOI : 10.1017/S0305004100035155

M. Wendt, Homology of SL 2 over function fields I: parabolic subcomplexes, Journal für die reine und angewandte Mathematik (Crelle's Journal), accepted for publication

M. Wendt, unpublished catalogue of data for SL 3 over number rings. [70] , Homology of GL 3 of function rings of elliptic curves