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Item Details
Title: OLIGOMORPHIC PERMUTATION GROUPS
By: Peter J. Cameron, N. J. Hitchin
Format: Paperback

List price: £40.99
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ISBN 10: 0521388368
ISBN 13: 9780521388368
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Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 29 June, 1990
Series: London Mathematical Society Lecture Note Series 152
Pages: 172
Description: This study of permutation groups has always been closely associated with that of highly symmetric structures. This book concerns such structures, their substructures and their automorphism groups. A wide range of techniques is used, including group theory, combinatorics, and Baire category.
Synopsis: 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.
Publication: UK
Imprint: Cambridge University Press
Returns: Returnable
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