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Ordered permutation groups /
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...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York :
Cambridge University Press,
1981.
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| Colección: | London Mathematical Society lecture note series ;
55. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | Includes indexes. |
| Descripción Física: | 1 online resource (xlix, 266 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 253-266). |
| ISBN: | 9781107360976 1107360978 1139883844 9781139883849 1107365880 9781107365889 1107370612 9781107370616 1107370272 9781107370272 1299403697 9781299403697 0511721242 9780511721243 |