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Groups of Finite Morley Rank : Oxford Logic Guides - Alexandre Borovik

Groups of Finite Morley Rank

Oxford Logic Guides

Hardcover Published: 1st December 1994
ISBN: 9780198534457
Number Of Pages: 426

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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.

"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 "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 "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 "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 toanyone, researcher or graduate student, interested in the connection of model theory and group theory."--Journal of Symbolic Logic

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

ISBN: 9780198534457
ISBN-10: 0198534450
Series: Oxford Logic Guides
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 426
Published: 1st December 1994
Publisher: Oxford University Press
Country of Publication: GB
Dimensions (cm): 24.1 x 16.2  x 2.8
Weight (kg): 0.77