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  3. Oligomorphic Permutation Groups
  • Cited by 129
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    • Publisher:
      Cambridge University Press
      Publication date:
      November 2009
      June 1990
      ISBN:
      9780511549809
      9780521388368
      DOI:
      https://doi.org/10.1017/CBO9780511549809
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.29kg, 172 Pages
      • Subjects:
      Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
      Series:
      London Mathematical Society Lecture Note Series (152)
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    • Selected: Digital
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    Subjects:
    Mathematics (general), Mathematics, Discrete Mathematics Information Theory and Coding, Algebra
    Series:
    London Mathematical Society Lecture Note Series (152)
    Information

    Book 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.

    Reviews

    ‘ … a very attractive textbook for any student interested in discrete mathematics.’

    Source: International Mathematical News

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