The homology of special linear groups over polynomial rings
Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 30 (1997) no. 3, p. 385-416
@article{ASENS_1997_4_30_3_385_0,
     author = {Knudson, Kevin P.},
     title = {The homology of special linear groups over polynomial rings},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     publisher = {Elsevier},
     volume = {Ser. 4, 30},
     number = {3},
     year = {1997},
     pages = {385-416},
     doi = {10.1016/s0012-9593(97)89926-0},
     zbl = {0874.20029},
     mrnumber = {98c:20087},
     language = {en},
     url = {http://www.numdam.org/item/ASENS_1997_4_30_3_385_0}
}
Knudson, Kevin P. The homology of special linear groups over polynomial rings. Annales scientifiques de l'École Normale Supérieure, Serie 4, Volume 30 (1997) no. 3, pp. 385-416. doi : 10.1016/s0012-9593(97)89926-0. http://www.numdam.org/item/ASENS_1997_4_30_3_385_0/

[1] A. Borel, Stable real cohomology of arithmetic groups (Ann. Scient. Éc. Norm. Sup. (4), Vol. 7, 1974, pp. 235-272). | Numdam | MR 52 #8338 | Zbl 0316.57026

[2] A. Borel, Stable real cohomology of arithmetic groups II (Prog. Math., Vol. 14, 1981, pp. 21-55, Birkhäuser-Boston). | MR 83h:22023 | Zbl 0483.57026

[3] A. Borel and J. Yang, The rank conjecture for number fields (Mathematical Research Letters, Vol. 1, 1994, pp. 689-699). | MR 95k:11077 | Zbl 0841.19002

[4] K. Brown, Buildings, Springer-Verlag, Berlin, Heidelberg, New York, 1989. | MR 90e:20001 | Zbl 0715.20017

[5] K. Brown, Cohomology of Groups, Springer-Verlag, Berlin, Heidelberg, New York, 1982. | MR 83k:20002 | Zbl 0584.20036

[6] F. Bruhat and J. Tits, Groupes réductifs sur un corps local I : Données radicielles valuées (Publ. IHES, Vol. 41, 1972, pp. 5-252). | Numdam | MR 48 #6265 | Zbl 0254.14017

[7] R. Charney, Homology stability for GLn of a Dedekind domain (Invent. Math., Vol. 56, 1980, pp. 1-17). | MR 81h:18010 | Zbl 0427.18013

[8] J. Dupont and H. Sah, Scissors congruences II (J. Pure and Appl. Algebra, Vol. 25, 1982, pp. 159-195). | MR 84b:53062b | Zbl 0496.52004

[9] J. Humphreys, Linear Algebraic Groups, Springer-Verlag, Berlin, Heidelberg, New York, 1981. | Zbl 0471.20029

[10] K. Hutchinson, A new approach to Matsumoto's Theorem (K-Theory, Vol. 4, 1990, pp. 181-200). | MR 91j:19006 | Zbl 0725.19001

[11] W. Van Der Kallen, Homology stability for linear groups (Invent. Math., Vol. 60, 1980, pp. 269-295). | MR 82c:18011 | Zbl 0415.18012

[12] K. Knudson, The homology of SL2(F[t,t-1]) (J. Alg., Vol. 180, 1996, pp. 87-101). | MR 97d:20053 | Zbl 0846.20045

[13] H. Nagao, On GL(2, K[x]) (J. Poly. Osaka Univ., Vol. 10, 1959, pp. 117-121). | MR 22 #5684 | Zbl 0092.02504

[14] D. Quillen, On the cohomology and K-theory of the general linear groups over a finite field (Ann. Math., Vol. 96, 1972, pp. 552-586). | MR 47 #3565 | Zbl 0249.18022

[15] D. Quillen, Higher algebraic K-theory : I, in K-Theory, H. Bass, ed., Springer Lecture Notes in Mathematics, Vol. 341, 1976, pp. 85-147. | MR 49 #2895 | Zbl 0292.18004

[16] J-P. Serre, Trees, Springer-Verlag, Berlin, Heidelberg, New York, 1980. | MR 82c:20083 | Zbl 0548.20018

[17] C. Soulé, Chevalley groups over polynomial rings, in Homological Group Theory (C.T.C. Wall, ed.) (London Math. Soc. Lecture Notes, Vol. 36, Cambridge University Press, Cambridge, 1979, pp. 359-367). | MR 81g:20080 | Zbl 0437.20036

[18] C. Soulé, The cohomology of SL3 (ℤ) (Topology, Vol. 17, 1978, pp. 1-22). | MR 57 #9908 | Zbl 0382.57026

[19] A. Suslin, Homology of GLn, characteristic classes and Milnor K-theory (Springer Lecture Notes in Mathematics, Vol. 1046, 1984, pp. 357-375). | MR 86f:11090a | Zbl 0528.18007

[20] A. Suslin, K3 of a field and Bloch's group (Proceedings of the Steklov Institute of Mathematics, 1991, Issue 4).

[21] A. Suslin, On the structure of the special linear group over polynomial rings (Math. USSR Izvestija, Vol. 11, 1977, pp. 221-238). | Zbl 0378.13002