
Groups of Finite Morley Rank
Clarendon Press
Published on 1. December 1994
Book
Hardback
426 pages
978-0-19-853445-7 (ISBN)
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.
More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Oxford University Press
Target group
Professional and scholarly
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 27 mm
Weight
804 gr
ISBN-13
978-0-19-853445-7 (9780198534457)
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Schweitzer Classification
Persons
Author
Lecturer in MathematicsLecturer in Mathematics, University of Manchester Institute of Science and Technology
Associate Professor of MathematicsAssociate Professor of Mathematics, University of California at Irvine
Content
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