# The Second Chinburg Conjecture for Quaternion Fields (Memoirs of the American Mathematical Society)

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### 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.

### 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.

### Product Details

• ISBN13: 9780821821640
• Format: Paperback
• Number Of Pages: 144
• ID: 9780821821640
• ISBN10: 0821821644

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