Ordered Permutation Groups

Klappentext As a result of the work of the nineteenth-century mathematician Arthur Cayley! algebraists and geometers have extensively studied permutation of sets. Zusammenfassung As a result of the work of the nineteenth-century mathematician Arthur Cayley! algebraists and geometers have extensively studied permutation of sets. In the special case that the underlying set is linearly ordered! there is a natural subgroup to study! namely the set of permutations that preserves that order. Inhaltsverzeichnis Part I. Opening the innings: 1. Introduction; 2. Doubly Transitive A; Part II. The structure theory: 3. Congruences and blocks; 4. Primitive ordered permutation groups; 5. The wreath product; Part III. Applications to ordered permutation groups: 6. Simple-permutation groups; 7. Uniqueness of representation; 8. Pointwise suprema and closed subgroups; Part IV. Applications to lattice-ordered groups: 10. Embedding theorums for lattice-ordered groups; 11. Normal valued lattice-ordered groups; Part V. The author's perogative: 12. Algebraically closed lattice-ordered groups; 13. The word problem for lattice-ordered groups.

Product details

• Authors: A. M. W. Glass, A.m.w. Glass
• Assisted by: N. J. Hitchin (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Paperback / Softback
• Released: 07.01.1982
• EAN: 9780521241908
• ISBN: 978-0-521-24190-8
• No. of pages: 332
• Series: Economic and Social Studies
• Subject: Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics