The Classification of Finite Simple Groups

Volume 1: Groups of Noncharacteristics 2 Type

  • Daniel Gorenstein

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

Table of contents

  1. Front Matter
    Pages i-x
  2. Daniel Gorenstein
    Pages 1-11
  3. Daniel Gorenstein
    Pages 13-72
  4. Daniel Gorenstein
    Pages 73-170
  5. Daniel Gorenstein
    Pages 171-261
  6. Daniel Gorenstein
    Pages 263-334
  7. Daniel Gorenstein
    Pages 335-474
  8. Daniel Gorenstein
    Pages 475-475
  9. Back Matter
    Pages 477-487

About this book

Introduction

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.

Keywords

Finite group theory history of mathematics mathematics proof theorem

Authors and affiliations

  • Daniel Gorenstein
    • 1
  1. 1.Rutgers, The State University of New JerseyNew BrunswickUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-3685-3
  • Copyright Information Springer-Verlag US 1983
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-3687-7
  • Online ISBN 978-1-4613-3685-3
  • About this book