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Oligomorphic permutation groups /
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 f...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
1990.
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| Colección: | London Mathematical Society lecture note series ;
152. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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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| Descripción Física: | 1 online resource (viii, 160 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 145-154) and index. |
| ISBN: | 9781107361638 110736163X 9780511549809 0511549806 |