Automorphisms of First-Order Structures
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Automorphisms of First-Order Structures by Richard Kaye
Book DescriptionThis book is a collection of articles, some introductory, some extended surveys, and some containing previously unpublished research, on a range of topics linking infinite permutation group theory and model theory.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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Book DetailsISBN: 9780198534686
(241mm x 161mm x 28mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 11-Aug-1994
Country of Publication: United Kingdom
Books By Author Richard Kaye
Linear Algebra, Paperback (January 1998)
Provides a complete account of undergraduate linear algebra, aimed at the level of the second-year undergraduate. This title is illustrated with examples, and emphasizes several applications to other areas of mathematics and physics.
Models of Peano Arithmetic, Hardback (January 1991)» View all books by Richard Kaye
An introduction to the developments of nonstandard models. Beginning with Godel's incompleteness theorem, it covers the prime models, cofinal extensions, and extensions, Gaifman's construction of a definable type, Tennenbaum's theorem and Friedman's theorem on indicators, ending with a chapter on recursive saturation and resplendency.
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