The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12-17: the Generic Case, Completed (Mathematical Surveys and Monographs) - Tapa dura

Gorenstein, Daniel; Lyons, Richard; Solomon, Ronald

 
9781470441890: The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12-17: the Generic Case, Completed (Mathematical Surveys and Monographs)
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ISBN 10: 1470441896 ISBN 13: 9781470441890
Editorial: American Mathematical Society, 2019

Sinopsis

This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach a major milestone in our series--the completion of the proof of the following theorem: Theorem O: Let G be a finite simple group of odd type, all of whose proper simple sections are known simple groups. Then either G is an alternating group or G is a finite group of Lie type defined over a field of odd order or G is one of six sporadic simple groups.

Put another way, Theorem O asserts that any minimal counterexample to the classification of the finite simple groups must be of even type. The work of Aschbacher and Smith shows that a minimal counterexample is not of quasithin even type, while this volume shows that a minimal counterexample cannot be of generic even type, modulo the treatment of certain intermediate configurations of even type which will be ruled out in the next volume of our series.

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Acerca del autor

Daniel Gorenstein and Richard Lyons, Rutgers University, Piscataway, NJ.

Ronald Solomon, The Ohio State University, Columbus, OH.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2019
Idioma
Inglés
ISBN 10 
1470441896
ISBN 13 
9781470441890
Encuadernación
Tapa dura
Número de páginas
488
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9780821840696: The Classification of the Finite Simple Groups, Number 7: Part III, Chapters 7-11: the Generic Case, Stages 3b and 4a (Mathematical Surveys and Monographs)

Edición Destacada

ISBN 10:  082184069X ISBN 13:  9780821840696
Editorial: American Mathematical Society, 2018
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