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Automorphisms of First-order Structures (Hardcover, New)
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Automorphisms of First-order Structures (Hardcover, New)
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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extended surveys, and some containing previously unpublished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.
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