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The Classification of Finite Simple Groups

Volume 1: Groups of Noncharacteristic 2 Type

  • Book
  • © 1983

Overview

Authors:
  1. Daniel Gorenstein

    1. Rutgers, The State University of New Jersey, New Brunswick, USA

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Part of the book series: University Series in Mathematics (USMA)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Introduction

    • Daniel Gorenstein
    Pages 1-11

  3. Simple Groups of 2-Rank ≤ 2

    • Daniel Gorenstein
    Pages 13-72

  4. Simple Groups of Low 2-Rank

    • Daniel Gorenstein
    Pages 73-170

  5. Centralizers of Involutions in Simple Groups

    • Daniel Gorenstein
    Pages 171-261

  6. The B-Theorem and Locally Unbalanced Groups

    • Daniel Gorenstein
    Pages 263-334

  7. The Classification of Groups of Component Type

    • Daniel Gorenstein
    Pages 335-474

  8. Conclusion

    • Daniel Gorenstein
    Pages 475-475

  9. Back Matter

    Pages 477-487
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Keywords

About this book

Never before in the history of mathematics has there been an individual theorem whose proof has required 10,000 journal pages of closely reasoned argument. Who could read such a proof, let alone communicate it to others? But the classification of all finite simple groups is such a theorem-its complete proof, developed over a 30-year period by about 100 group theorists, is the union of some 500 journal articles covering approximately 10,000 printed pages. How then is one who has lived through it all to convey the richness and variety of this monumental achievement? Yet such an attempt must be made, for without the existence of a coherent exposition of the total proof, there is a very real danger that it will gradually become lost to the living world of mathematics, buried within the dusty pages of forgotten journals. For it is almost impossible for the uninitiated to find the way through the tangled proof without an experienced guide; even the 500 papers themselves require careful selection from among some 2,000 articles on simple group theory, which together include often attractive byways, but which serve only to delay the journey.

Authors and Affiliations

  • Rutgers, The State University of New Jersey, New Brunswick, USA

    Daniel Gorenstein

Bibliographic Information

  • Book Title: The Classification of Finite Simple Groups

  • Book Subtitle: Volume 1: Groups of Noncharacteristic 2 Type

  • Authors: Daniel Gorenstein

  • Series Title: University Series in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4613-3685-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1983

  • Hardcover ISBN: 978-0-306-41305-6Published: 30 September 1983

  • Softcover ISBN: 978-1-4613-3687-7Published: 15 November 2013

  • eBook ISBN: 978-1-4613-3685-3Published: 22 November 2013

  • Edition Number: 1

  • Number of Pages: X, 487

  • Topics: Algebra

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