Oligomorphic Permutation Groups
$55.99 USD
Part of London Mathematical Society Lecture Note Series
- Author: Peter J. Cameron, Queen Mary University of London
- Date Published: March 2011
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
- format: Adobe eBook Reader
- isbn: 9780511892493
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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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' … a very attractive textbook for any student interested in discrete mathematics.' International Mathematical News
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×Product details
- Date Published: March 2011
- format: Adobe eBook Reader
- isbn: 9780511892493
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Introduction
2. Preliminaries
3. Examples and growth rates
4. Subgroups
5. Miscellaneous topics.
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