The Reconstruction of Trees from Their Automorphism Groups (Contemporary Mathematics) - Matatyahu Rubin (1993)
ISBN 082185187X
Subject Automorphisms; Model theory; Trees (Graph theory)
Publisher American Mathematical Society
Publication Date November 1993
Format Paperback (260 mm)
Language e
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 model theory and permutation group theory, this self-contained book will bring readers to the forefront of research on this topic.
Personal Details
Collection Status In Collection
Index 552
Read It Yes
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Product Details
LoC Classification QA9.7.R83 1993
Dewey 511/.5
Cover Price $62.00
No. of Pages 274