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OverviewThe separate areas of ordered groups and infinite permutation groups began to converge in significant ways in about the mid-1960s. Since then, the connection has steadily grown so that now permutation groups are essential to many who work in ordered groups, ordered groups are of some interest to most of those who work in infinite permutation groups, and there are a number of mathematicians whose main work is exactly in ordered permutation groups, the combination of the two. This book represents a confluence of the two subjects, running the spectrum from purely infinite permutation groups through ordered permutation groups to purely ordered groups. Experts in various aspects of these subjects have each contributed a chapter. The articles are surveys of recent and past work in the area and they include extensive bibliographies. Topics include lattice-ordered groups, ordered permutation groups, Jordan groups, reconstruction problems, groups with few orbits, the separation theorem, and automorphisms of symmetric groups. Full Product DetailsAuthor: W.C. HollandPublisher: Springer Imprint: Springer Edition: 1996 ed. Volume: 354 Dimensions: Width: 15.60cm , Height: 1.50cm , Length: 23.40cm Weight: 1.200kg ISBN: 9780792338536ISBN 10: 0792338537 Pages: 248 Publication Date: 30 November 1995 Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsQuasivarieties and Varieties of Lattice-Ordered Groups.- Lattice-ordered Permutation Groups: The Structure Theory.- On Recovering Structures from Quotients of their Automorphism Groups.- The Automorphism Groups of Generalized McLain Groups.- Locally Moving Groups and Reconstruction Problems.- Infinite Jordan Permutation Groups.- The Separation Theorem for Group Actions.- Permutation Groups Whose Subgroups Have Just Finitely Many Orbits.- Automorphisms of Quotients of Symmetric Groups.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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