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Daniel Quillen's definition of the higher algebraic Kgroups 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 lowdimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the FriedlanderMilnorconjecture concerning the homology of algebraic groups made discrete.
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