• The Classification Of The Finite Simple Groups

The Classification Of The Finite Simple Groups

The Classification Of The Finite Simple Groups

( from 245 reviews )
  • Author
    Daniel Gorenstein
  • Publisher
    American Mathematical Soc
  • Publication date
    18 November 1994

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Book Detail

  • Book Title

    The Classification Of The Finite Simple Groups

  • Author

    Daniel Gorenstein

  • Date Published

    18 November 1994

  • Publisher

    American Mathematical Soc

  • Pages

    165 pages

  • ISBN

    9780821809600

Book Description

The classification of the finite simple groups is one of the major feats of contemporary mathematical research, but its proof has never been completely extricated from the journal literature in which it first appeared. This book serves as an introduction to a series devoted to organizing and simplifying the proof. The purpose of the series is to present as direct and coherent a proof as is possible with existing techniques. This first volume, which sets up the structure for the entire series, begins with largely informal discussions of the relationship between the Classification Theorem and the general structure of finite groups, as well as the general strategy to be followed in the series and a comparison with the original proof. Also listed are background results from the literature that will be used in subsequent volumes. Next, the authors formally present the structure of the proof and the plan for the series of volumes in the form of two grids, giving the main case division of the proof as well as the principal milestones in the analysis of each case. Thumbnail sketches are given of the ten or so principal methods underlying the proof. Much of the book is written in an expository style accessible to nonspecialists.

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