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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Produkt-Hinweis
Fadenheftung
Gewebe-Einband
Maße
Höhe: 234 mm
Breite: 156 mm
Dicke: 24 mm
Gewicht
ISBN-13
978-0-19-853445-7 (9780198534457)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
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
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