ENGLISH

Homology of Linear Groups

By Kevin P. Knudson (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2001
ISBN
9783764364151, 3764364157, 0817664157
DOI
10.1007/978-3-0348-8338-2
Open Library ID
OL9090597M
Language
english
Format
DJVU
Filesize
2 MB (1857814 bytes)
Series
Progress in Mathematics 193
Edition
1
Pages
192\195
Topic
Mathematics Algebra
Library
backwar
Time added
2014-10-05 02:30:00
Algebraic Topology

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 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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