Algebra, K-Theory, Groups, and Education: On the Occasion of Hyman Bass's 65th Birthday / Edition 1

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Brand new. We distribute directly for the publisher. 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. Read more Show Less

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Overview

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.

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Editorial Reviews

Booknews
Contains 14 papers based on lectures delivered at a November 1997 conference at Columbia University. The volume features expositions of key developments over the past four decades in commutative and non- commutative algebra, algebraic theory, infinite group theory, and applications of algebra to topology. Topics include torsion in genus class groups, a survey of obstruction theory for projective modules of top rank, and trees, lattices and commensurators. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780821810873
  • Publisher: American Mathematical Society
  • Publication date: 1/1/1999
  • Series: Contemporary Mathematics Series , #243
  • Edition number: 1
  • Pages: 238

Table of Contents

Preface
Program talks
On the occasion of the 65th birthday of Hyman Bass 1
A professional autobiography 3
Crossing boundaries to examine the mathematics entailed in elementary teaching 15
Bass's work on the Jacobian conjecture 37
Torsion in genus class groups 47
Hyman Bass and ubiquity: Gorenstein rings 55
A salute to Euler and Dickson on the occasion of Hy's 65th birthday 79
Bass's work in ring theory and projective modules 83
One for almost all: generation of SL(n,p) by subsets of SL(n,[actual symbol not reproducible]) 125
Deformations of representations 129
Trees, lattices and commensurators 145
A survey of obstruction theory for projective modules of top rank 153
The congruence subgroup problem 175
Three-manifold topology and the tree for PSL[subscript 2]: the Smith conjecture and beyond 189
The development of algebraic K-theory before 1980 211
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