On the Chow rings of classifying spaces for classical groups
Rendiconti del Seminario Matematico della Università di Padova, Tome 116 (2006), pp. 271-298. 
@article{RSMUP_2006__116__271_0,
     author = {Molina Rojas, Luis Alberto and Vistoli, Angelo},
     title = {On the {Chow} rings of classifying spaces for classical groups},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {271--298},
     publisher = {Seminario Matematico of the University of Padua},
     volume = {116},
     year = {2006},
     mrnumber = {2287351},
     zbl = {1112.14008},
     language = {en},
     url = {http://www.numdam.org/item/RSMUP_2006__116__271_0/}
}
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Molina Rojas, Luis Alberto; Vistoli, Angelo. On the Chow rings of classifying spaces for classical groups. Rendiconti del Seminario Matematico della Università di Padova, Tome 116 (2006), pp. 271-298. http://www.numdam.org/item/RSMUP_2006__116__271_0/

[Bro82] E. H. Brown, jr., The cohomology of BSOn and BOn with integer coefficients, Proc. Amer. Math. Soc. 85, no. 2 (1982), pp. 283-288. | MR | Zbl

[EG95] D. Edidin and W. Graham, Characteristic classes and quadric bundles, Duke Math. J. 78, no. 2 (1995), pp. 277-299. | MR | Zbl

[EG97] D. Edidin and W. Graham, Characteristic classes in the Chow ring, J. Algebraic Geom. 6, no. 3 (1997), pp. 431-443. | MR | Zbl

[EG98] D. Edidin and W. Graham, Equivariant intersection theory, Invent. Math. 131, no. 3 (1998), pp. 595-634. | MR | Zbl

[Fes83] M. Feshbach, The integral cohomology rings of the classifying spaces of O(n) and SO(n), Indiana Univ. Math. J. 32, no. 4, (1983), pp. 511-516. | MR | Zbl

[Fie04] R. E. Field, The Chow ring of the classifying space BSO(2n; C), arXiv: math.AG/0411424, 2004.

[Gir71] J. Giraud, Cohomologie non abélienne, Springer-Verlag, Berlin, 1971, Die Grundlehren der mathematischen Wissenschaften, Band 179. | MR | Zbl

[Gro58a] A. Grothendieck, Sur quelques propriétés fondamentales en théorie des intersections, Exposé 4, Séminaire C. Chevalley, Anneaux de Chow et Applications, Secrétariat mathématique, Paris, 1958. | Numdam

[Gro58b] A. Grothendieck, Torsion homologique et sections rationelles, Exposé 5, Séminaire C. Chevalley, Anneaux de Chow et Applications, Secrétariat mathématique, Paris, 1958. | Numdam

[Gui04a] P. Guillot, Chow rings and cobordism of some Chevalley groups, Math. Proc. Cambridge Philos. Soc. 136, no. 3 (2004), pp. 625-642. | MR | Zbl

[Gui04b] P. Guillot, The Chow rings of G2 and Spin7, arXiv: math.AG/0508122, 2004. | MR

[Gui04c] P. Guillot, Steenrod operations on the Chow ring of a classifying space, arXiv: math.AG/0403415, to appear in Adv. Math., 2004. | MR | Zbl

[KM75] A. Kono and M. Mimura, On the cohomology of the classifying spaces of PSU(4n ‡ 2) and PO(4n ‡ 2), Publ. Res. Inst. Math. Sci. 10, no. 3 (1974/ 75), 691-720. | MR | Zbl

[KMS75] A. Kono, M. Mimura, and N. Shimada, Cohomology of classifying spaces of certain associative H-spaces, J. Math. Kyoto Univ. 15, no. 3 (1975), pp. 607-617. | MR | Zbl

[KN05] M. Kameko and Y. Nobuaki, The Brown-Peterson cohomology of the classifying spaces of the projective unitary groups PU(p) and exceptional Lie groups, preprint, 2005. | MR

[Pan98] R. Pandharipande, Equivariant Chow rings of O(k); fSO(2k ‡ 1), and SO(4), J. Reine Angew. Math. 496 (1998), pp. 131-148. | MR | Zbl

[Tod87] H. Toda, Cohomology of classifying spaces, Homotopy theory and related topics (Kyoto, 1984), Adv. Stud. Pure Math., vol. 9, North-Holland, Amsterdam, 1987, pp. 75-108. | MR | Zbl

[Tot99] B. Totaro, The Chow ring of a classifying space, Algebraic K-theory (Seattle, WA, 1997), Amer. Math. Soc., Providence, RI, 1999, pp. 249-281. | MR | Zbl

[Vez00] G. Vezzosi, On the Chow ring of the classifying stack of PGL3;C, J. Reine Angew. Math. 523 (2000), pp. 1-54. | MR | Zbl

[Vis05] A. Vistoli, On the Chow ring and the cohomology of the classifying space of PGLp, arXiv: math.AG/0505052, 2005.

[VV03] A. Vavpeticï and A. Viruel, On the mod p cohomology of BPU(p), arXiv: math.AT/0312441, 2003.

[Yag02] N. Yagita, Chow rings of classifying spaces of extraspecial p-groups, Recent progress in homotopy theory (Baltimore, MD, 2000), Contemp. Math., vol. 293, Amer. Math. Soc., Providence, RI, 2002, pp. 397-409. | MR | Zbl

[Yag03] N. Yagita, Examples for the mod p motivic cohomology of classifying spaces, Trans. Amer. Math. Soc. 355 (2003), no. 11, 4427-4450 (electronic). | MR | Zbl

[Yag04] N. Yagita, The image of cycle map of the classifying space of the exceptional group F4, J. Math. Kyoto Univ. 44, no. 1 (2004), pp. 181-191. | MR | Zbl

[Yag05] N. Yagita, Applications of Atiyah-Hirzebruch spectral sequences for motivic cobordism, Proc. London Math. Soc. (3) 90, no. 3 (2005), pp. 783-816. | MR | Zbl