Oligomorphic Permutation Groups Peter J. Cameron

ISBN: 9780521388368

Published: December 1st 2001

172 pages


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Oligomorphic Permutation Groups  by  Peter J. Cameron

Oligomorphic Permutation Groups by Peter J. Cameron
December 1st 2001 | | PDF, EPUB, FB2, DjVu, audiobook, mp3, ZIP | 172 pages | ISBN: 9780521388368 | 9.42 Mb

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... MoreThe 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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