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Class Groups and Picard Groups of Group Rings and Orders
I. Reiner
A co-publication of the AMS and CBMS.
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CBMS Regional Conference Series in Mathematics
1976; 44 pp; softcover
Number: 26
Reprint/Revision History:
reprinted 1986
ISBN-10: 0-8218-1676-4
ISBN-13: 978-0-8218-1676-9
List Price: US$25
Member Price: US$20
All Individuals: US$20
Order Code: CBMS/26
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The aim of the lectures is to provide an introduction to recent developments in the theory of class groups and Picard groups. The techniques employed come from the three main areas: algebraic number theory, representation theory of algebras and orders, and algebraic \(K\)-theory.

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Table of Contents

  • Introduction
  • Explicit formulas
  • Change of orders
  • Class groups of \(p\)-groups
  • Mayer-Vietoris sequences
  • Calculations
  • Survey of specific results
  • Induction techniques
  • Picard groups
  • References
  • Index
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