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The Classification of the Finite Simple Groups, Number 8: Part III, Chapters 12-17: the Generic Case, Completed (Mathematical Surveys and Monographs) - Hardcover
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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.
Biografía del autor
Daniel Gorenstein and Richard Lyons, Rutgers University, Piscataway, NJ. Ronald Solomon, The Ohio State University, Columbus, OH.
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- VerlagAmerican Mathematical Society
- Erscheinungsdatum2019
- ISBN 10 1470441896
- ISBN 13 9781470441890
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten488
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The Classification of the Finite Simple Groups, - Part III, Chapters 12-17: The Generic Case, Completed
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The Classification of the Finite Simple Groups, Number 8
Verlag:
American Mathematical Society, 2019
ISBN 10: 1470441896
ISBN 13: 9781470441890
Neu
Hardcover
Anbieter: moluna, Greven, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. 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 the comp. Artikel-Nr. 274381549
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The Classification of the Finite Simple Groups, Number 8 : Part III, Chapters 12-17: The Generic Case, Completed
Verlag:
American Mathematical Society Feb 2019, 2019
ISBN 10: 1470441896
ISBN 13: 9781470441890
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. Neuware - 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 the completion of the proof of Theorem O. Artikel-Nr. 9781470441890
Anzahl: 1 verfügbar