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OverviewThe 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. Full Product DetailsAuthor: Alexandre Borovik (Lecturer in Mathematics, Lecturer in Mathematics, University of Manchester Institute of Science and Technology) , Ali Nesin (Associate Professor of Mathematics, Associate Professor of Mathematics, University of California at Irvine)Publisher: Oxford University Press Imprint: Clarendon Press Volume: 26 Dimensions: Width: 16.20cm , Height: 2.80cm , Length: 24.10cm Weight: 0.750kg ISBN: 9780198534457ISBN 10: 0198534450 Pages: 426 Publication Date: 01 December 1994 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: To order  Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us. Table of Contents1. 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 ; IndexReviewsThe book is excellently written, and great care has been taken to make it accessible to group theorists. It is liberally laced with exercises, particularly in the beginning, and it is made clear when these are important to the theory. -- Mathematical Reviews<br> Fascinating. . .Gives an impressive amount of very beautiful mathematics, and in a very elegant way [and] shows a multitude of ways to attack the problem. . . .The book also contains an important list of open problems and a very complete bibliography. . . .I will strongly recommend this book to anyone, researcher or graduate student, interested in the connection of model theory and group theory. --Journal of Symbolic Logic<br> """The book is excellently written, and great care has been taken to make it accessible to group theorists. It is liberally laced with exercises, particularly in the beginning, and it is made clear when these are important to the theory."" -- Mathematical Reviews ""Fascinating. . .Gives an impressive amount of very beautiful mathematics, and in a very elegant way [and] shows a multitude of ways to attack the problem. . . .The book also contains an important list of open problems and a very complete bibliography. . . .I will strongly recommend this book to anyone, researcher or graduate student, interested in the connection of model theory and group theory.""--Journal of Symbolic Logic" Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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