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Modules over the integral group ring of a nonabelian group of order $pq$

About this Title

Lee Klingler

Publication: Memoirs of the American Mathematical Society
Publication Year: 1986; Volume 59, Number 341
ISBNs: 978-0-8218-2343-9 (print); 978-1-4704-0754-4 (online)
DOI: https://doi.org/10.1090/memo/0341
MathSciNet review: 823445
MSC: Primary 16A26; Secondary 16A14, 16A18, 16A64, 20C10

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Table of Contents

Chapters

  • 1. $ZG$ as a multiple pullback
  • 2. Modules over pullbacks
  • 3. Modules over the coordinate rings
  • 4. Reduction to a matrix problem
  • 5. Localizations and completions
  • 6. Solution of the matrix problem
  • 7. Indecomposable Artinian $ZG$-modules
  • 8. Indecomposable non-Artinian $ZG$-modules
  • 9. Direct sum behavior
  • 10. Locally quasi-free class groups
  • 11. Applications