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Kevin Patrick Knudson

    Homology of linear groups
    • 2001

      Homology of linear groups

      • 192 pages
      • 7 hours of reading

      Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.

      Homology of linear groups