Sinossi
The goal is to outline the original proof of the classification of the finite simple groups for non-specialist readers. The project began with Daniel Gorenstein's 1983 book with the same title, but designated volume one. It addressed groups of non-characteristic 2 type. This is the second volume, and discusses the treatment of groups of characteristic 2 type. Among the topics are the classification of groups of Gorenstein-Walter type, the classification of quasi-thin groups, the pre-trichotomy and trichotomy theorems, and eliminating the uniqueness case. Annotation ©2011 Book News, Inc., Portland, OR (booknews.com)
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The Classification of Finite Simple Groups
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MP-AMM American Mathematical, 2011
ISBN 10: 0821853368
ISBN 13: 9780821853368
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The Classification of Finite Simple Groups Groups of Characteristic 2 Type
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Hardcover. Condizione: Brand New. 347 pages. 10.50x7.50x1.00 inches. In Stock. Codice articolo __0821853368
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The Classification of Finite Simple Groups
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American Mathematical Society, US, 2011
ISBN 10: 0821853368
ISBN 13: 9780821853368
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Hardback. Condizione: New. The book provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the "even case", where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of "noncharacteristic 2 type". However, this book provides much more. Chapter 0 is a modern overview of the logical structure of the entire classification. Chapter 1 is a concise but complete outline of the "odd case" with updated references, while Chapter 2 sets the stage for the remainder of the book with a similar outline of the "even case". The remaining six chapters describe in detail the fundamental results whose union completes the proof of the classification theorem. Several important subsidiary results are also discussed. In addition, there is a comprehensive listing of the large number of papers referenced from the literature. Appendices provide a brief but valuable modern introduction to many key ideas and techniques of the proof. Some improved arguments are developed, along with indications of new approaches to the entire classification-such as the second and third generation projects-although there is no attempt to cover them comprehensively. The work should appeal to a broad range of mathematicians-from those who just want an overview of the main ideas of the classification, to those who want a reader's guide to help navigate some of the major papers, and to those who may wish to improve the existing proofs. Codice articolo LU-9780821853368
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The Classification of Finite Simple Groups: Groups of Characteristic 2 Type
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ISBN 13: 9780821853368
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The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Mathematical Surveys and Monographs)
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Condizione: New. Series: Mathematical Surveys and Monographs. Num Pages: 347 pages. BIC Classification: PBG. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2011. Hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821853368
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The Classification of Finite Simple Groups
Editore:
American Mathematical Society, US, 2011
ISBN 10: 0821853368
ISBN 13: 9780821853368
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Hardback. Condizione: New. The book provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the "even case", where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of "noncharacteristic 2 type". However, this book provides much more. Chapter 0 is a modern overview of the logical structure of the entire classification. Chapter 1 is a concise but complete outline of the "odd case" with updated references, while Chapter 2 sets the stage for the remainder of the book with a similar outline of the "even case". The remaining six chapters describe in detail the fundamental results whose union completes the proof of the classification theorem. Several important subsidiary results are also discussed. In addition, there is a comprehensive listing of the large number of papers referenced from the literature. Appendices provide a brief but valuable modern introduction to many key ideas and techniques of the proof. Some improved arguments are developed, along with indications of new approaches to the entire classification-such as the second and third generation projects-although there is no attempt to cover them comprehensively. The work should appeal to a broad range of mathematicians-from those who just want an overview of the main ideas of the classification, to those who want a reader's guide to help navigate some of the major papers, and to those who may wish to improve the existing proofs. Codice articolo LU-9780821853368
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The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Mathematical Surveys and Monographs)
Editore:
American Mathematical Society, 2011
ISBN 10: 0821853368
ISBN 13: 9780821853368
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Condizione: New. Series: Mathematical Surveys and Monographs. Num Pages: 347 pages. BIC Classification: PBG. Category: (G) General (US: Trade). Dimension: 254 x 178. . . 2011. Hardcover. . . . . Codice articolo V9780821853368
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