Oligomorphic Permutation Groups
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Oligomorphic Permutation Groups by Peter J. Cameron
Book DescriptionThe 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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Book DetailsISBN: 9780521388368
(228mm x 152mm x 10mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 29-Jun-1990
Country of Publication: United Kingdom
Books By Author Peter J. Cameron
Introduction to Algebra, Paperback (December 2007)
This Second Edition of a classic algebra text includes updated and comprehensive introductory chapters, new material on axiom of Choice, p-groups and local rings, discussion of theory and applications, and over 300 exercises. It is an ideal introductory text for all Year 1 and 2 undergraduate students in mathematics.
Topics in Algebraic Graph Theory, Hardback (October 2004)
There is no other book with such a wide scope of both areas of algebraic graph theory.
Permutation Groups, Paperback (February 1999)
This book summarizes recent developments in the study of permutation groups for beginning graduate students.
Combinatorics, Paperback (October 1994)» View all books by Peter J. Cameron
A textbook in combinatorics for second-year undergraduate to beginning graduate students.
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