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The Classification of the Finite Simple Groups, Number 6: Part IV: The Special Odd Case
 
Richard Lyons Rutgers University, New Brunswick, NJ
Ronald Solomon Ohio State University, Columbus, OH
The Classification of the Finite Simple Groups, Number 6
Hardcover ISBN:  978-0-8218-2777-2
Product Code:  SURV/40.6
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1271-5
Product Code:  SURV/40.6.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-2777-2
eBook: ISBN:  978-1-4704-1271-5
Product Code:  SURV/40.6.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
The Classification of the Finite Simple Groups, Number 6
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The Classification of the Finite Simple Groups, Number 6: Part IV: The Special Odd Case
Richard Lyons Rutgers University, New Brunswick, NJ
Ronald Solomon Ohio State University, Columbus, OH
Hardcover ISBN:  978-0-8218-2777-2
Product Code:  SURV/40.6
List Price: $129.00
MAA Member Price: $116.10
AMS Member Price: $103.20
eBook ISBN:  978-1-4704-1271-5
Product Code:  SURV/40.6.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Hardcover ISBN:  978-0-8218-2777-2
eBook ISBN:  978-1-4704-1271-5
Product Code:  SURV/40.6.B
List Price: $254.00 $191.50
MAA Member Price: $228.60 $172.35
AMS Member Price: $203.20 $153.20
  • Book Details
     
     
    Mathematical Surveys and Monographs
    Volume: 402005; 529 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.

    Continuing the proof of the classification theorem which began in the previous five volumes (Surveys of Mathematical Monographs, Volumes 40-1-s, 40.2, 40.3, 40.4, and 40.5), in this volume, the authors provide the classification of finite simple groups of special odd type (Theorems \(\mathcal{C}_2\) and \(\mathcal{C}_3\), as stated in the first volume of the series).

    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 IV. The special odd case
    • 1. General introduction to the special odd case
    • 2. General lemmas
    • 3. Theorem $\mathcal {C}^*_2$: Stage 1
    • 4. Theorem $\mathcal {C}^*_2$: Stage 2
    • 5. Theorem $\mathcal {C}_2$: Stage 3
    • 6. Theorem $\mathcal {C}_2$: Stage 4
    • 7. Theorem $\mathcal {C}_2$: Stage 5
    • 8. Theorem $\mathcal {C}_3$: Stage 1
    • 9. Theorem $\mathcal {C}_3$: Stages 2 and 3
    • 10. $\mathrm {IV}_K$: Preliminary properties of $\mathcal {K}$-groups
  • Reviews
     
     
    • This series of volumes ... 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
Volume: 402005; 529 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.

Continuing the proof of the classification theorem which began in the previous five volumes (Surveys of Mathematical Monographs, Volumes 40-1-s, 40.2, 40.3, 40.4, and 40.5), in this volume, the authors provide the classification of finite simple groups of special odd type (Theorems \(\mathcal{C}_2\) and \(\mathcal{C}_3\), as stated in the first volume of the series).

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

Readership

Graduate students and research mathematicians interested in group theory.

  • Part IV. The special odd case
  • 1. General introduction to the special odd case
  • 2. General lemmas
  • 3. Theorem $\mathcal {C}^*_2$: Stage 1
  • 4. Theorem $\mathcal {C}^*_2$: Stage 2
  • 5. Theorem $\mathcal {C}_2$: Stage 3
  • 6. Theorem $\mathcal {C}_2$: Stage 4
  • 7. Theorem $\mathcal {C}_2$: Stage 5
  • 8. Theorem $\mathcal {C}_3$: Stage 1
  • 9. Theorem $\mathcal {C}_3$: Stages 2 and 3
  • 10. $\mathrm {IV}_K$: Preliminary properties of $\mathcal {K}$-groups
  • This series of volumes ... 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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