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The analytic theory of multiplicative Galois structure

About this Title

Ted Chinburg

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 77, Number 395
ISBNs: 978-0-8218-2458-0 (print); 978-1-4704-0815-2 (online)
DOI: https://doi.org/10.1090/memo/0395
MathSciNet review: 973358
MSC: Primary 11R33; Secondary 11R37, 11R42

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Table of Contents

Chapters

  • I. Introduction
  • II. Galois structure invariants and Stark’s conjecture
  • III. The theory of $\Omega ^S_m(N/K)$
  • IV. Some families of complex quaternion fields
  • V. The quaternion fields for which $(p,r,q,m) = (3,5,7,1)$
  • VI. The analytic theory of $\Omega _m(N/K)$ for certain quaternion extensions
  • VII. Errata