Automorphisms of First-order Structures

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Richard W. Kaye, Dugald Macpherson
Clarendon Press, 1994 - History - 386 pages
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This book is a collection of articles, some introductory, some extended surveys, and some containing previously unpublished research, on a range of topics linking infinite permutation group theory and model theory.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-categoricalstructures; 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 ofchoice. 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 firsttime, and to an active researcher from either of the two main fields looking for an overview of the subject.

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About the author (1994)

Richard Kaye is at The University, Edgbaston, Birmingham. Dugald Macpherson is at Queen Mary and Westfield College, London.

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