Oligomorphic Permutation Groups / Peter J. Cameron.
Material type: TextSeries: London Mathematical Society Lecture Note Series ; no. 152Publisher: Cambridge : Cambridge University Press, 1990Description: 1 online resource (172 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511549809 (ebook)Subject(s): Permutation groupsAdditional physical formats: Print version: : No titleDDC classification: 512/.2 LOC classification: QA171 | .C257 1990Online resources: Click here to access online Summary: 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.Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK12053 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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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