CBMS Regional Conference Series in Mathematics 1974; 68 pp; softcover Number: 20 Reprint/Revision History: fifth printing 2000 ISBN-10: 0-8218-1670-5 ISBN-13: 978-0-8218-1670-7 List Price: US$28 Member Price: US$22.40 All Individuals: US$22.40 Order Code: CBMS/20
![[Add Item]](/images/addtocart.gif) |  Table of Contents
Part I. Introduction - Elementary matrices
- Stability
- \(K_1(A[t])\) and unipotents
- Grothendieck and Whitehead groups of categories with exact sequences
- A Grothendieck style definition of \(K_1(A)\)
- Homology, mapping cones, and Euler characteristics
- Resolution theorems
- Projective resolutions and regular rings
- Hilbert's syzygy theorem
- Appendix 1
Part II. Localisation, divissage and applications - The localisation sequence
- Categories of nilpotent endomorphisms
- \(K_1(A[t,t^-1])\)
- Devissage
- Some calculations with the localisation sequence and \(K_1\)-Laurent theorem
- Computations with the Mayer-Vietoris sequence
- References
 |
