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The Classification of the Finite Simple Groups No. 6: Part IV, Special Odd Case -  American Mathematical Society

The Classification of the Finite Simple Groups No. 6: Part IV, Special Odd Case

Buch | Hardcover
529 Seiten
2004
American Mathematical Society (Verlag)
978-0-8218-2777-2 (ISBN)
CHF 189,95 inkl. MwSt
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The classification of finite simple groups is a landmark result of modern mathematics. This work presents critical aspects of the classification. It provides the classification of finite simple groups of special odd type (Theorems $/mathcal{C}_2$ and $/mathcal{C}_3$). It is suitable for graduate students and researchers interested in group theory.
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 are assembling the proof with explanations and references. It is a monumental task. The book, along with background from sections of the previous volumes, presents critical aspects of the classification. Continuing the proof of the classification theorem which began in the previous five volumes (""Surveys of Mathematical Monographs, Volumes 40.1.E, 40.2, 40.3, 40.4, and 40.5""), in this volume, the authors provide the classification of finite simple groups of special odd type (Theorems $/mathcal{C}_2$ and $/mathcal{C}_3$, as stated in the first volume of the series). The book is suitable for graduate students and researchers interested in group theory.

Richard Lyons, Rutgers University, Piscataway, NJ

General introduction to the special odd case General lemmas Theorem $C^*_2$: Stage 1 Theorem $C^*_2$: Stage 2 Theorem $C_2$: Stage 3 Theorem $C_2$: Stage 4 Theorem $C_2$: Stage 5 Theorem $C_3$: Stage 1 Theorem $C_3$: Stages 2 and 3 IV$_K$: Preliminary properties of $K$-groups Background references Expository references Glossary Index.

Erscheint lt. Verlag 1.6.2005
Reihe/Serie Mathematical Surveys and Monographs
Verlagsort Providence
Sprache englisch
Gewicht 1170 g
Themenwelt Mathematik / Informatik Mathematik
ISBN-10 0-8218-2777-4 / 0821827774
ISBN-13 978-0-8218-2777-2 / 9780821827772
Zustand Neuware
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