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The Classification of the Finite Simple Groups, Number 5
 
Daniel Gorenstein
Richard Lyons :  Rutgers University, Piscataway, NJ
Ronald Solomon :  Ohio State University, Columbus, OH
The Classification of the Finite Simple Groups, Number 5
Hardcover ISBN:  978-0-8218-2776-5
Product Code:  SURV/40.5
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1270-8
Product Code:  SURV/40.5.E
List Price: $25.00
MAA Member Price: $22.50
AMS Member Price: $20.00
Hardcover ISBN:  978-0-8218-2776-5
eBook: ISBN:  978-1-4704-1270-8
Product Code:  SURV/40.5.B
List Price: $154.00 $141.50
MAA Member Price: $138.60 $127.35
AMS Member Price: $123.20 $113.20
Add to cart
The Classification of the Finite Simple Groups, Number 5
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The Classification of the Finite Simple Groups, Number 5
Daniel Gorenstein
Richard Lyons :  Rutgers University, Piscataway, NJ
Ronald Solomon :  Ohio State University, Columbus, OH
Hardcover ISBN:  978-0-8218-2776-5
Product Code:  SURV/40.5
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1270-8
Product Code:  SURV/40.5.E
List Price: $25.00
MAA Member Price: $22.50
AMS Member Price: $20.00
Hardcover ISBN:  978-0-8218-2776-5
eBook ISBN:  978-1-4704-1270-8
Product Code:  SURV/40.5.B
List Price: $154.00 $141.50
MAA Member Price: $138.60 $127.35
AMS Member Price: $123.20 $113.20
Add to cart
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 40; 2002; 467 pp
    MSC: Primary 20;

    The classification of finite simple groups is a landmark result of modern mathematics. The original proof is spread over scores of articles by dozens of researchers. In this multivolume book, the authors are assembling the proof with explanations and references. It is a monumental task. The book, along with background from sections of the previous volumes, presents critical aspects of the classification.

    In four prior volumes (Surveys of Mathematical Monographs, Volumes 40.1, 40.2, 40.3, and 40.4), the authors began the proof of the classification theorem by establishing certain uniqueness and preuniqueness results. In this volume, they now begin the proof of a major theorem from the classification grid, namely Theorem \(\mathcal{C}_7\).

    The book is suitable for graduate students and researchers interested in group theory.
    Readership

    Graduate students and research mathematicians interested in group theory.
  • Table of Contents
     
     
    • Part III
    • 1. Theorem $\mathcal {C}_7$: General introduction
    • 2. General group-theoretic results
    • 3. Theorem $\mathcal {C}^*_7$: Stage 1
    • 4. Theorem $\mathcal {C}^*_7$: Stage 2
    • 5. Theorem $\mathcal {C}^*_7$: Stage 3a
    • 6. Properties of $\mathcal {K}$-Groups
  • Reviews
     
     

    • This series of volumes, and this one in particular, is a model for all mathematicians of the standards and clarity that should be achieved.
      Mathematical Reviews
  • 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
Mathematical Surveys and Monographs
Volume: 40; 2002; 467 pp
MSC: Primary 20;

The classification of finite simple groups is a landmark result of modern mathematics. The original proof is spread over scores of articles by dozens of researchers. In this multivolume book, the authors are assembling the proof with explanations and references. It is a monumental task. The book, along with background from sections of the previous volumes, presents critical aspects of the classification.

In four prior volumes (Surveys of Mathematical Monographs, Volumes 40.1, 40.2, 40.3, and 40.4), the authors began the proof of the classification theorem by establishing certain uniqueness and preuniqueness results. In this volume, they now begin the proof of a major theorem from the classification grid, namely Theorem \(\mathcal{C}_7\).

The book is suitable for graduate students and researchers interested in group theory.
Readership

Graduate students and research mathematicians interested in group theory.
  • Part III
  • 1. Theorem $\mathcal {C}_7$: General introduction
  • 2. General group-theoretic results
  • 3. Theorem $\mathcal {C}^*_7$: Stage 1
  • 4. Theorem $\mathcal {C}^*_7$: Stage 2
  • 5. Theorem $\mathcal {C}^*_7$: Stage 3a
  • 6. Properties of $\mathcal {K}$-Groups

  • This series of volumes, and this one in particular, is a model for all mathematicians of the standards and clarity that should be achieved.
    Mathematical Reviews
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
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