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Multiplicative Invariant Fields of Dimension $\leq6$
 
Akinari Hoshi Niigata University, Niigata, Japan
Ming-chang Kang National Taiwan University, Taipei, Taiwan
Aiichi Yamasaki Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-6022-8
Product Code:  MEMO/283/1403
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7404-1
Product Code:  MEMO/283/1403.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6022-8
eBook: ISBN:  978-1-4704-7404-1
Product Code:  MEMO/283/1403.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Multiplicative Invariant Fields of Dimension $\leq6$
Akinari Hoshi Niigata University, Niigata, Japan
Ming-chang Kang National Taiwan University, Taipei, Taiwan
Aiichi Yamasaki Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-6022-8
Product Code:  MEMO/283/1403
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7404-1
Product Code:  MEMO/283/1403.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6022-8
eBook ISBN:  978-1-4704-7404-1
Product Code:  MEMO/283/1403.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2832023; 137 pp
    MSC: Primary 14; 20

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminaries and the unramified Brauer groups
    • 3. CARAT ID of the $\mathbb {Z}$-classes in dimensions $5$ and $6$
    • 4. Proof of Theorem
    • 5. Classification of elementary abelian groups $(C_2)^k$ in $GL_n(\mathbb {Z})$ with $n\leq 7$
    • 6. The case $G=(C_2)^3$ with $H_u^2(G,M)\neq 0$
    • 7. The case $G=A_6$ with $H_u^2(G,M)\neq 0$ and Noether’s problem for $N\rtimes A_6$
    • 8. Some lattices of rank $2n+2, 4n$, and $p(p-1)$
    • 9. GAP computation: an algorithm to compute $H_u^2(G,M)$
    • 10. Tables: multiplicative invariant fields with non-trivial unramified Brauer groups
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2832023; 137 pp
MSC: Primary 14; 20

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Preliminaries and the unramified Brauer groups
  • 3. CARAT ID of the $\mathbb {Z}$-classes in dimensions $5$ and $6$
  • 4. Proof of Theorem
  • 5. Classification of elementary abelian groups $(C_2)^k$ in $GL_n(\mathbb {Z})$ with $n\leq 7$
  • 6. The case $G=(C_2)^3$ with $H_u^2(G,M)\neq 0$
  • 7. The case $G=A_6$ with $H_u^2(G,M)\neq 0$ and Noether’s problem for $N\rtimes A_6$
  • 8. Some lattices of rank $2n+2, 4n$, and $p(p-1)$
  • 9. GAP computation: an algorithm to compute $H_u^2(G,M)$
  • 10. Tables: multiplicative invariant fields with non-trivial unramified Brauer groups
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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