The Classification Of Finite Simple Groups

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The Classification Of Finite Simple Groups

Author : Daniel Gorenstein
ISBN : 9781461336853
Genre : Mathematics
File Size : 29.13 MB
Format : PDF
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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.
Category: Mathematics
The Classification of Finite Simple Groups
Language: en
Pages: 487
Authors: Daniel Gorenstein
Categories: Mathematics
Type: BOOK - Published: 2013-11-22 - Publisher: Springer Science & Business Media

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,
The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7–11: The Generic Case, Stages 3b and 4a
Language: en
Pages: 344
Authors: Daniel Gorenstein, Richard Lyon, Ronald Solomon
Categories: Finite simple groups
Type: BOOK - Published: 2018-02-15 - Publisher: American Mathematical Soc.

The classification of finite simple groups is a landmark result of modern mathematics. The multipart series of monographs which is being published by the AMS (Volume 40.1–40.7 and future volumes) represents the culmination of a century-long project involving the efforts of scores of mathematicians published in hundreds of journal articles,
The Classification of the Finite Simple Groups
Language: en
Pages: 529
Authors: Daniel Gorenstein, Richard Lyons, Ronald Solomon
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: American Mathematical Soc.

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 have succeeded in the monumental task of assembling this original proof with explanations and references. The present book,
The Classification of the Finite Simple Groups
Language: en
Pages: 165
Authors: Daniel Gorenstein, Richard Lyons, Ronald M. Solomon
Categories: Mathematics
Type: BOOK - Published: 1994-11-18 - Publisher: American Mathematical Soc.

Books about The Classification of the Finite Simple Groups
The Classification of the Finite Simple Groups, Number 3
Language: en
Pages: 419
Authors: Daniel Gorenstein, Richard Lyons, Ronald Solomon
Categories: Mathematics
Type: BOOK - Published: 1994 - Publisher: American Mathematical Soc.

This book offers a single source of basic facts about the structure of the finite simple groups with emphasis on a detailed description of their local subgroup structures, coverings and automorphisms. The method is by examination of the specific groups, rather than by the development of an abstract theory of