Frobenius Green functors

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Baker, Andrew (2012)
  • Subject: Mathematics - Algebraic Topology | Mathematics - Group Theory | Primary 19A22, 55R35, Secondary 55N20, 55N22
    arxiv: Mathematics::K-Theory and Homology | Mathematics::Algebraic Topology | Mathematics::Category Theory

These notes provide an informal introduction to a type of Mackey functor that arises naturally in algebraic topology in connection with Morava $K$-theory of classifying spaces of finite groups. The main aim is to identify key algebraic aspects of the Green functor structure obtained by applying a Morava $K$-theory to such classifying spaces.
  • References (46)
    46 references, page 1 of 5

    [1] A. Baker and B. Richter, Galois theory and Lubin-Tate cochains on classifying spaces, Cent. Eur. J. Math. 9 (2011), no. 5, 1074-1087.

    [2] S. Bouc, Green functors and G-sets, Lect. Notes in Math., vol. 1671, 1997.

    [3] , Biset functors for finite groups, Lect. Notes in Math., vol. 1990, 2010.

    [4] C. Broto, R. Levi, and B. Oliver, The homotopy theory of fusion systems, J. Amer. Math. Soc. 16 (2003), 779-856.

    [5] H. Cartan and S. Eilenberg, Homological algebra, Princeton University Press, 1999. With an appendix by D. A. Buchsbaum; reprint of the 1956 original.

    [6] L. N. Childs, G. Garfinkel, and M. Orzech, The Brauer group of graded Azumaya algebras, Trans. Amer. Math. Soc. 175 (1973), 299-326.

    [7] M. Demazure, Lectures on p-divisible groups, Lect. Notes in Math., vol. 302, 1986.

    [8] A. W. M. Dress, Contributions to the theory of induced representations, Lect. Notes in Math. 342 (1973), 183-240.

    [9] M. J. Hopkins, N. J. Kuhn, and D. C. Ravenel, Morava K-theories of classifying spaces and generalized characters for finite groups 1509 (1992), 186-209.

    [10] , Generalized group characters and complex oriented cohomology theories, J. Amer. Math. Soc. 13 (2000), 553-594 (electronic).

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