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Homology of Linear Groups (Paperback, Softcover reprint of the original 1st ed. 2001)
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Homology of Linear Groups (Paperback, Softcover reprint of the original 1st ed. 2001)
Series: Progress in Mathematics, 193
Expected to ship within 10 - 15 working days
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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 of the cohomology of GLn (Fq).
The stability theorems and low-dimensional results of A. Suslin, W.
van der Kallen and others are presented as well as recent results
for rank one groups. A chapter on the Friedlander-Milnor-conjecture
concerning the homology of algebraic groups made discrete is also
included. This marks the first time that these results have been
collected in a single volume. The book should prove useful to
graduate students and researchers in K-theory, group cohomology,
algebraic geometry and topology.
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