Automorphisms of First-order Structures

By: Richard Kaye, Dugald Macpherson

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Hardcover | 11 August 1994

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Hardcover
404 Pages

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23.39 x 15.6 x 2.39

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This book is a collection of articles, some introductory, some extended surveys, and some containing previously unpublished research, on a range of topics linking infinite permutation group theory and model theory. Topics covered include: oligomorphic permutation groups and omega-categorical structures; totally categorical structures and covers; automorphism groups of recursively saturated structures; Jordan groups; Hrushovski's constructions of pseudoplanes; permutation groups of finite Morley rank; applications of permutation group theory to models of set theory without the axiom of choice. There are introductory chapters by the editors on general model theory and permutation theory, recursively saturated structures, and on groups of finite Morley rank. The book is almost self-contained, and should be useful to both a beginning postgraduate student meeting the subject for the first time, and to an active researcher from either of the two main fields looking for an overview of the subject.

Industry Reviews

An introduction to and a survey of several interrelated parts of model theory and the theory of permutation groups, supplemented by a numer of research papers in which the themes of the book are particularly prominent. . . .enhanced by the extensive and explicit cross-referencing between the various independently authored chapters, and a very well-designed index. . . .It provides a sketch of the model theorist's current interpretation of the idea that mathematics is, among other things, the study of symmetry.--Journal of Symbolic Logic

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