Oligomorphic Permutation Groups [Paperback]

Peter J. Cameron (Author)

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Product Details

Paperback: 172 pages
Publisher: Cambridge University Press (Jun 29 1990)
Language: English
ISBN-10: 0521388368
ISBN-13: 978-0521388368
Product Dimensions: 22.6 x 15.4 x 1.6 cm
Shipping Weight: 299 g

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Review

' ... a very attractive textbook for any student interested in discrete mathematics.' International Mathematical News

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The study of permutation groups has always been closely associated with that of highly symmetric structures. The objects considered here are countably infinite, but have only finitely many different substructures of any given finite size. They are precisely those structures which are determined by first-order logical axioms together with the assumption of countability. This book concerns such structures, their substructures and their automorphism groups. A wide range of techniques are used: group theory, combinatorics, Baire category and measure among them. The book arose from lectures given at a research symposium and retains their informal style, whilst including as well many recent results from a variety of sources. It concludes with exercises and unsolved research problems.

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First Sentence
In the summer of 1988, a London Mathematical Society symposium was held in Durham on "Model Theory and Groups", organised by Wilfrid Hodges, Otto Kegel and Ileter Neumann. Read the first page

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