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Algebra, \(K\)-Theory, Groups, and Education: On the Occasion of Hyman Bass's 65th Birthday
Edited by: T. Y. Lam, University of California, Berkeley, CA, and A. R. Magid, University of Oklahoma, Norman, OK
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Contemporary Mathematics
1999; 238 pp; softcover
Volume: 243
ISBN-10: 0-8218-1087-1
ISBN-13: 978-0-8218-1087-3
List Price: US$57
Member Price: US$45.60
Order Code: CONM/243
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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.

Readership

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

Table of Contents

  • J. Ewing -- On the occasion of the 65th birthday of Hyman Bass
  • H. Bass -- A professional autobiography
  • D. L. Ball -- Crossing boundaries to examine the mathematics entailed in elementary teaching
  • E. Formanek -- Bass's work on the Jacobian conjecture
  • R. M. Guralnick and C. J. Pappacena -- Torsion in genus class groups
  • C. Huneke -- Hyman Bass and ubiquity: Gorenstein rings
  • I. Kaplansky -- A salute to Euler and Dickson on the occasion of Hy's 65th birthday
  • T. Y. Lam -- Bass's work in ring theory and projective modules
  • A. Lubotzky -- One for almost all: Generation of \(SL(n,p)\) by subsets of \(SL(n,\mathbb{Z})\)
  • A. R. Magid -- Deformations of representations
  • S. Mozes -- Trees, lattices and commensurators
  • M. P. Murthy -- A survey of obstruction theory for projective modules of top rank
  • A. S. Rapinchuk -- The congruence subgroup problem
  • P. B. Shalen -- Three-manifold topology and the tree for PSL\(_2\): The Smith conjecture and beyond
  • C. A. Weibel -- The development of algebraic \(K\)-theory before 1980
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