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The Reconstruction of Trees from Their Automorphism Groups.

Trees, sometimes called semilinear orders, are partially ordered sets in which every initial segment determined by an element is linearly ordered. This book focuses on automorphism groups of trees, providing a nearly complete analysis of when two trees have isomorphic automorphism groups. Special at...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rubin, Matatyahu
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 1993.
Colección:Contemporary Mathematics Ser.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Rubin, Matatyahu. 
245 1 4 |a The Reconstruction of Trees from Their Automorphism Groups. 
260 |a Providence :  |b American Mathematical Society,  |c 1993. 
300 |a 1 online resource (286 pages) 
336 |a text  |b txt  |2 rdacontent 
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490 1 |a Contemporary Mathematics Ser. ;  |v v. 151 
588 0 |a Print version record. 
505 0 |a Intro; Contents; Summary; 0. An extended introduction; 1. Some preliminaries concerning interpretations, groupsand N0 -categoricity; 2. A new reconstruction theorem for Boolean algebras; 3. The completion and the Boolean algebra of a U-tree; 4. The statement of the canonization and reconstruction theorems; 5. The canonization of trees; 6. The reconstruction of the Boolean algebra of a U-tree; 7. The reconstruction of PT(Exp(M)); 8. Final reconstruction results; 9. Observations, examples and discussion; 10. Augmented trees; 11. The reconstruction of N0-categorical trees. 
505 8 |a 12. Nonisomorphic 1-homogeneous chains which have isomorphic automorphism groupsBibliography; A list of notations and definitions. 
520 |a Trees, sometimes called semilinear orders, are partially ordered sets in which every initial segment determined by an element is linearly ordered. This book focuses on automorphism groups of trees, providing a nearly complete analysis of when two trees have isomorphic automorphism groups. Special attention is paid to the class of \aleph _0-categorical trees, and for this class the analysis is complete. Various open problems, mostly in permutation group theory and in model theory, are discussed, and a number of research directions are indicated. Aimed at graduate students and researchers in mod. 
504 |a Includes bibliographical references. 
546 |a English. 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Model theory. 
650 0 |a Automorphisms. 
650 0 |a Trees (Graph theory) 
650 6 |a Théorie des modèles. 
650 6 |a Automorphismes. 
650 6 |a Arbres (Théorie des graphes) 
650 7 |a Automorphisms  |2 fast 
650 7 |a Model theory  |2 fast 
650 7 |a Trees (Graph theory)  |2 fast 
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830 0 |a Contemporary Mathematics Ser. 
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