Ordered Permutation Groups (Paperback)
Language: English
Published by Cambridge University Press, Cambridge, 1982
Series: Book 52 of 387 - London Mathematical Society Lecture Notes
- Softcover
- New
Seller: CitiRetail, Stevenage, United KingdomCitiRetail
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Condition: New
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Paperback. 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. In some senses. these are universal for automorphisms of models of theories. The purpose of this book is to make a thorough, comprehensive examination of these groups of permutations. After providing the initial background Professor Glass develops the general structure theory, emphasizing throughout the geometric and intuitive aspects of the subject. He includes many applications to infinite simple groups, ordered permutation groups and lattice-ordered groups. The streamlined approach will enable the beginning graduate student to reach the frontiers of the subject smoothly and quickly. Indeed much of the material included has never been available in book form before, so this account should also be useful as a reference work for professionals. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. …
Seller Inventory # 9780521241908
- Title
- Ordered Permutation Groups (Paperback)
- Author
- A.M.W. Glass
- Publisher
- Cambridge University Press, Cambridge
- Publication year
- 1982
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0521241901
- ISBN 13
- 9780521241908
- Series
- Book 52 of 387: London Mathematical Society Lecture Notes
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