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.
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