The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Mathematical Surveys and Monographs)

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9780821853368: The Classification of Finite Simple Groups: Groups of Characteristic 2 Type (Mathematical Surveys and Monographs)

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.

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About the Author:

Michael Aschbacher, California Institute of Technology, Pasadena, CA||Richard Lyons, Rutgers University, Piscataway, NJ|Stephen D. Smith, University of Illinois at Chicago, IL|Ronald Solomon, The Ohio State University, Columbus, O

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Michael Aschbacher, Richard Lyons, Stephen D. Smith, Ronald Solomon
Editore: American Mathematical Society
ISBN 10: 0821853368 ISBN 13: 9780821853368
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Descrizione libro American Mathematical Society. Microfilm. Condizione libro: new. BRAND NEW, The Classification of Finite Simple Groups: Groups of Characteristic 2 Type, Michael Aschbacher, Richard Lyons, Stephen D. Smith, Ronald Solomon, 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 libro della libreria B9780821853368

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Michael Aschbacher, Richard Lyons, Stephen D. Smith
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Descrizione libro American Mathematical Society, United States, 2011. Microfilm. Condizione libro: New. Language: English . Brand New Book. 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 libro della libreria AAN9780821853368

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Michael Aschbacher, Richard Lyons, Stephen D. Smith
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ISBN 10: 0821853368 ISBN 13: 9780821853368
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Descrizione libro American Mathematical Society, United States, 2011. Microfilm. Condizione libro: New. Language: English . Brand New Book. 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 libro della libreria AAN9780821853368

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Descrizione libro American Mathematical Society, 2011. UNK. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821853368

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Michael Aschbacher, Richard Lyons, Stephen D. Smith, Ronald Solomon
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Descrizione libro American Mathematical Society, 2011. Hardcover. Condizione libro: New. Codice libro della libreria DADAX0821853368

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Descrizione libro Amer Mathematical Society, 2011. Hardcover. Condizione libro: Brand New. 347 pages. 10.50x7.50x1.00 inches. In Stock. Codice libro della libreria __0821853368

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Descrizione libro American Mathematical Society, 2011. Hardcover. Condizione libro: New. book. Codice libro della libreria M0821853368

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Descrizione libro American Mathematical Society, 2011. Hardcover. Condizione libro: New. Never used!. Codice libro della libreria P110821853368

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218533680000000

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