The second Chinburg conjecture for quaternion fields

Bibliographic Information

The second Chinburg conjecture for quaternion fields

Jeff Hooper, Victor Snaith, Minh van Tran

(Memoirs of the American Mathematical Society, no. 704)

American Mathematical Society, 2000

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Note

Includes bibliographical references (p. 130-132) and index

"November 2000, volume 148, number 704 (fourth of 5 numbers)"

Description and Table of Contents

Description

The Second Chinburg Conjecture relates the Galois module structure of rings of integers in number fields to the values of the Artin root number on the symplectic representations of the Galois group. This book establishes the Second Chinburg Conjecture for various quaternion fields.

Table of Contents

Introduction Class-groups of group-rings The evaluation of $[X]$ Quaternion fields over $\mathbf{Q}_2$ The invariant in Cases A, B and C The evaluation of $[M]$ The conjecture in Cases A, B and C Epilogue Bibliography Index.

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