Groups of Finite Morley Rank

Klappentext This book clearly details the theory of groups of finite Morley rank--groups which arise in model theory and generalize the concept of algebraic groups over algebraically closed fields. Written especially for pure group theorists and graduate students embarking on research on the subject, the book develops the theory from the beginning and contains an algebraic and self-evident rather than a model-theoretic point of view. All necessary model and group theoretical notions are explained at length. Containing nearly all of the known results in the subject, the book offers a plethora of exercises and examples, making it ideal for both students and researchers in group theory and model theory. Zusammenfassung 'Oxford Logic Guide provides comprehensive coverage of a new research area in algebra and model theory. Model theoretical and group theoretical notions are explained in detail, and almost all the known results in the area are included. Aimed at the needs of the graduate student, there are many exercises (with hints) and carefully chosen examples. Inhaltsverzeichnis 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

Product details

• Authors: Alexandre Borovik, Alexandre (Lecturer in Mathematics Borovik, Alexandre Nesin Borovik, Borovik Alexandre, Ali Nesin, Nesin Ali
• Publisher: Oxford University Press
• Languages: English
• Product format: Hardback
• Released: 01.12.1994
• EAN: 9780198534457
• ISBN: 978-0-19-853445-7
• No. of pages: 426
• Series: Oxford Logic Guides; Oxford Logic Guides
• Subjects: Humanities, art, music > Linguistics and literary studies > General and comparative linguistics; Natural sciences, medicine, IT, technology > Mathematics > Arithmetic, algebra; MATHEMATICS / Group Theory, MATHEMATICS / Logic, Groups & group theory, Mathematical logic, Groups and group theory