Groups of Finite Morley Rank
Series: Oxford Logic Guides; 26;
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80 141 Ft
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Product details:
- Publisher Clarendon Press
- Date of Publication 1 December 1994
- ISBN 9780198534457
- Binding Hardback
- No. of pages426 pages
- Size 241x162x28 mm
- Weight 750 g
- Language English 0
Categories
Short description:
BL Unique resource allowing the reader to progress from the basics right up to the research frontier
BL Comprehensive coverage of this new and rapidly developing research topic
This new Oxford Logic Guide is the first book to provide comprehensive coverage of a new research area in algebra and model theory. The authors have adopted an algebraic and self-evident point of view rather than a model-theoretic one, making the topic more accessible for pure group theorists. Model theoretical and group theoretical notions are explained in detail, and almost all the known results in the area are included. The authors tailored the book to the needs of the graduate student, with many exercises (with hints) and carefully chosen examples.
Long description:
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.
MoreTable of Contents:
Basic Group Theory
Definability
Interpretability
Ranked Universe
Basic Properties
Nilpotent Groups
Semisimple Groups
Fields and Rings
Solvable Groups
2-Sylow Theory
Permutation Groups
Gepometrics
bad Groups
CN and CIT-Groups
A. Miscellaneous Results
B. Open Problems
C. Link with Model Theory
D. Hints to the Exercises
Bibliography
Index
