Oligomorphic Permutation Groups

Oligomorphic Permutation Groups

eBook - 1990
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Cambridge Univ Pr
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.

Publisher: Cambridge ; New York : Cambridge University Press, 1990
ISBN: 9780511549809
0511549806
9781107361638
110736163X
9780521388368
0521388368
Characteristics: 1 online resource (viii, 160 pages) : illustrations

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