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Homology of Linear Groups: 193 Softcover reprint of the original 1st ed. 2001 Edition
Author(s): Kevin P. Knudson (Author)
- Publisher: Birkhäuser
- Publication Date: 23 Oct. 2012
- Edition: Softcover reprint of the original 1st ed. 2001
- Language: English
- Print length: 192 pages
- ISBN-10: 3034895232
- ISBN-13: 9783034895231
Book Description
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.
Editorial Reviews
Review
“A book for graduates and researchers in K-theory, cohomology, algebraic geometry and topology. The theme is the development of the computing of the homology of the groups of matrices from Daniel Quillen’s definitions of the higher algebraic K-groups. Stability theorems, low-dimensional results and the Friedlander-Milnor conjecture are discussed in this monograph.”
–Aslib Book Guide
“This marks the first time that many of these results have been collected in a single volume…”
–Mathematical Reviews
