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The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. (English) Zbl 0225.55015


MSC:

55R40 Homology of classifying spaces and characteristic classes in algebraic topology
57T10 Homology and cohomology of Lie groups
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References:

[1] Atiyah, M., Bott, R., Shapiro, A.: Clifford modules, Topology3, suppl. 1, 3-38 (1964). · Zbl 0146.19001 · doi:10.1016/0040-9383(64)90003-5
[2] Borel, A.: Sur l’homologie et la cohomologie des groupes de Lie compacts connexes, Amer. Jour. Math.76, 273-342 (1954). · Zbl 0056.16401 · doi:10.2307/2372574
[3] Dickson, L.E.: Linear Groups. New York: Dover Publications 1958. · Zbl 0082.24901
[4] Gorenstein, D.: Finite Groups. New York: Harper and Row 1968. · Zbl 0185.05701
[5] Hartshorne, R.: A property of A-sequences, Bull. Math. Soc. France94, 61-66 (1966). · Zbl 0142.28605
[6] Krull, W.: Idealtheorie. New York: Chelsea 1948.
[7] Quillen, D.: The spectrum of an equivariant cohomology ring (to appear). · Zbl 0247.57013
[8] Zariski, O., Samuel, P.: Commutative Algebra. Princeton: Van Nostrand 1960. · Zbl 0121.27801
[9] Thomas, E.: On the cohomology groups of the classifying space for the stable spinor group, Bol. Soc. Math. Mex. 1962, 57-69. · Zbl 0124.16401
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