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Kevin P Knudson

Acting Director, Shackouls Honors College; Associate Professor, Mathematics and Statistics

E-mail address: knudson@math.msstate.edu
Website: http://www2.msstate.edu/~kk116/


Dr. Knudson earned his B.S. in mathematics at Virginia Tech in 1990; his master's the next year; and his Ph.D. in mathematics from Duke University in 1996. He then took a National Science Foundation Postdoctoral Fellowship in the mathematics department at Northwestern University. His first tenure-track job was at Wayne State University in Detroit, Michigan. He spent three years there, leaving in 2002 for his current job at Mississippi State.


Homology of Linear Groups

Knudson, Kevin P
Publisher: Birkauser Basel
2001
ISBN: 3764364157
Series: Progress in Mathematics, volume 193

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.