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Homology of Linear Groups
Kevin P. Knudson
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Description for Homology of Linear Groups
Hardback. 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 book 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. Series: Progress in Mathematics. Num Pages: 192 pages, biography. BIC Classification: PBF; PBG. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 234 x 156 x 12. Weight in Grams: 470.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2000
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
192
Condition
New
Series
Progress in Mathematics
Number of Pages
192
Place of Publication
Basel, Switzerland
ISBN
9783764364151
SKU
V9783764364151
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Homology of Linear Groups
"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 ... Read more