طبقه‌بندی گروه‌های ساده محدود، شماره ۵؛ بخش سوم، فصل‌های ۱-۶: مورد عمومی، مراحل ۱-۳a

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. In four prior volumes (Surveys of Mathematical Monographs, Volumes 40.1, 40.2, 40.3, and 40.4), the authors began the proof of the classification theorem by establishing certain uniqueness and preuniqueness results. In this volume, they now begin the proof of a major theorem from the classification grid, namely Theorem $\mathcal{C}\_7$. The book is suitable for graduate students and researchers interested in group theory. No. 1. [without Special Title] -- No. 2. Part I, Chapter G, General Group Theory. -- No. 3. Part I, Chapter A, Almost Simple K-groups. -- No. 4. Part Ii, Chapters 1-4: Uniqueness Theorems. -- No. 5. Part Iii, Chapters 1-6: The Generic Case, Stages 1-3a. -- No. 6. Part Iv, The Special Odd Case -- No. 7. Part Iii, Chapters 7-11: The Generic Case, Stages 3b And 4a. -- No. 8. Part Iii, Chapters 12-17: The Generic Case, Completed. Daniel Gorenstein, Richard Lyons, Ronald Solomon. Includes Bibliographical References And Indexes. Also Available In Electronic Format.