Groups of finite Morley rank
著者
書誌事項
Groups of finite Morley rank
（Oxford logic guides, 26）
Clarendon Press , Oxford University Press, 1994
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注記
Includes bibliographical references
内容説明・目次
内容説明
The book is devoted to the theory of groups of finite Morley rank. These groups arise in model theory and generalize the concept of algebraic groups over algebraically closed fields. The book contains almost all the known results in the subject. Trying to attract pure group theorists in the subject and to prepare the graduate student to start the research in the area, the authors adopted an algebraic and self evident point of view rather than a model theoretic
one, and developed the theory from scratch. All the necessary model theoretical and group theoretical notions are explained in length. The book is full of exercises and examples and one of its chapters contains a discussion of open problems and a program for further research.
目次
- 1. Basic Group Theory
- 2. Definability
- 3. Interpretability
- 4. Ranked Universe
- 5. Basic Properties
- 6. Nilpotent Groups
- 7. Semisimple Groups
- 8. Fields and Rings
- 9. Solvable Groups
- 10. 2-Sylow Theory
- 11. Permutation Groups
- 12. Gepometrics
- 13. bad Groups
- 14. CN and CIT-Groups
- A. Miscellaneous Results
- B. Open Problems
- C. Link with Model Theory
- D. Hints to the Exercises
- Bibliography
- Index
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