Oligomorphic permutation groups
By: Peter J. Cameron.
Series: London Mathematical Society lecture note series ;; 152
Publisher: Cambridge University Press
Published: 1990
Place of publication: Cambridge; New York
Language: eng
Number of pages: 160
Subjects: Permutation groups.
Description: 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.
Notes: Includes bibliographical references (p. 145-154) and index.