**Contemporary Mathematics**

Volume: 243;
1999;
238 pp;
Softcover

MSC: Primary 16; 19; 20; 00;

Print ISBN: 978-0-8218-1087-3

Product Code: CONM/243

List Price: $60.00

Individual Member Price: $48.00

**Electronic ISBN: 978-0-8218-7833-0
Product Code: CONM/243.E**

List Price: $60.00

Individual Member Price: $48.00

# Algebra, $K$-Theory, Groups, and Education: On the Occasion of Hyman Bass’s 65th Birthday

Share this page *Edited by *
*T. Y. Lam; A. R. Magid*

This volume includes expositions of key developments over the past four decades in commutative and non-commutative algebra, algebraic \(K\)-theory, infinite group theory, and applications of algebra to topology. Many of the articles are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass. Important topics related to Bass's mathematical interests are surveyed by leading experts in the field. Of particular note is a professional autobiography of Professor Bass and an article by Deborah Ball on mathematical education. The range of subjects covered in the book offers a convenient single source for topics in the field.

#### Table of Contents

# Table of Contents

## Algebra, $K$-Theory, Groups, and Education: On the Occasion of Hyman Bass's 65th Birthday

- Contents v6 free
- Preface vii8 free
- Program talks ix10 free
- On the occasion of the 65th birthday of Hyman Bass 112 free
- A professional autobiography 314
- Crossing boundaries to examine the mathematics entailed in elementary teaching 1526
- Bass's work on the Jacobian conjecture 3748
- Torsion in genus class groups 4758
- Hyman Bass and ubiquity: Gorenstein rings 5566
- Introduction 5566
- Plane Curves 5667
- Commutative Algebra circa 1960 5869
- Gorenstein Rings 6071
- Examples and Low Codimension 6374
- Injective Modules and Matlis Duality 6576
- Ubiquity 6778
- Homological Themes 6980
- Inverse Powers and O-dimensional Gorenstein Rings 7081
- Hilbert Functions 7283
- Invariants and Gorenstein Rings 7485
- Ubiquity and Module Theory 7586
- Bibliography 7788

- A salute to Euler and Dickson on the occasion of Hy's 65th birthday 7990
- Bass's work in ring theory and projective modules 8394
- One for almost all: generation of SL(n,p) by subsets of SL(n, Z) 125136
- Deformations of representations 129140
- Trees, lattices and commensurators 145156
- A survey of obstruction theory for projective modules of top rank 153164
- The congruence subgroup problem 175186
- Three-manifold topology and the tree for PSL2: the Smith conjecture and beyond 189200
- The development of algebraic K-theory before 1980 211222

#### Readership

Graduate students and research mathematicians interested in associative rings and algebras; mathematical historians and educators.