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The second Chinburg conjecture for quaternion fields

About this Title

Jeff Hooper, Victor Snaith and Minh van Tran

Publication: Memoirs of the American Mathematical Society
Publication Year 2000: Volume 148, Number 704
ISBNs: 978-0-8218-2164-0 (print); 978-1-4704-0295-2 (online)
MathSciNet review: 1787250
MSC: Primary 11R33; Secondary 11R34, 11R42, 11S25, 19A31, 19F27

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Table of Contents


  • Introduction
  • 1. Class-groups of group-rings
  • 2. The evaluation of [$X$]
  • 3. Quaternion fields over $\mathbf {Q}_2$
  • 4. The invariant in Cases A, B and C
  • 5. The evaluation of [$M$]
  • 6. The conjecture in Cases A, B and C
  • 7. Epilogue
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