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The Second Chinburg Conjecture for Quaternion Fields
 
Jeff Hooper University of Durham, Durham, UK
Victor Snaith University of Southhampton, Southampton, UK
Minh van Tran A C Nielsen Vietnam—Tecasin Business Centre, Ho Chi Minh City, Vietnam
The Second Chinburg Conjecture for Quaternion Fields
eBook ISBN:  978-1-4704-0295-2
Product Code:  MEMO/148/704.E
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $31.80
The Second Chinburg Conjecture for Quaternion Fields
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The Second Chinburg Conjecture for Quaternion Fields
Jeff Hooper University of Durham, Durham, UK
Victor Snaith University of Southhampton, Southampton, UK
Minh van Tran A C Nielsen Vietnam—Tecasin Business Centre, Ho Chi Minh City, Vietnam
eBook ISBN:  978-1-4704-0295-2
Product Code:  MEMO/148/704.E
List Price: $53.00
MAA Member Price: $47.70
AMS Member Price: $31.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1482000; 133 pp
    MSC: Primary 11; Secondary 12; 16;

    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. We establish the Second Chinburg Conjecture for all quaternion fields.

    Readership

    Graduate students and research mathematicians interested in number theory, algebra, and algebraic \(K\)-theory.

  • Table of Contents
     
     
    • Chapters
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1482000; 133 pp
MSC: Primary 11; Secondary 12; 16;

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. We establish the Second Chinburg Conjecture for all quaternion fields.

Readership

Graduate students and research mathematicians interested in number theory, algebra, and algebraic \(K\)-theory.

  • Chapters
  • 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.