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Logarithmic descriptions of Whitehead groups and class groups for $p$-groups

About this Title

Robert Oliver and Laurence R. Taylor

Publication: Memoirs of the American Mathematical Society
Publication Year 1988: Volume 76, Number 392
ISBNs: 978-0-8218-2455-9 (print); 978-1-4704-0812-1 (online)
MathSciNet review: 938472
MSC: Primary 18F25; Secondary 19A22, 19A31, 19B28

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Table of Contents


  • 0. Summary of methods
  • 1. Localization sequences and logarithms
  • 2. Factoring homomorphisms of functors on $p$-groups
  • 3. The main theorem
  • 4. $\operatorname {Wh}’(G)$ for finite 2-groups $G$
  • 5. $D(\mathbb {Z}G)$ for 2-groups
  • 6. Classgroups of $G \times C^k_2$
  • 7. $\operatorname {Wh}’(G)$ and $D(\mathbb {Z}G)$ for odd $p$-groups
American Mathematical Society