The Reconstruction of Trees from Their Automorphism Groups
Author:   Matatyahu Rubin
Publisher:   American Mathematical Society
Volume:   No. 151
ISBN:  

9780821851876


Pages:   274
Publication Date:   01 December 1994
Format:   Paperback
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Our Price $220.00 Quantity:  
Add to Cart

Share |

The Reconstruction of Trees from Their Automorphism Groups


Add your own review!

Overview

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.

Full Product Details

Author:   Matatyahu Rubin
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 151
Weight:   0.510kg
ISBN:  

9780821851876


ISBN 10:   082185187
Pages:   274
Publication Date:   01 December 1994
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

An extended introduction Some preliminaries concerning interpretations, groups and $\aleph_0$-categoricity A new reconstruction theorem for Boolean algebras The completion and the Boolean algebra of a U-tree The statement of the canonization and reconstruction theorems The canonization of trees The reconstruction of the Boolean algebra of a U-tree The reconstruction of $PT({\mathrm Exp}(M))$ Final reconstruction results Observations, examples and discussion Augmented trees The reconstruction of $\aleph_0$-categorical trees Nonisomorphic 1-homogeneous chains which have isomorphic automorphism groups Bibliography A list of notations and definitions.

Reviews

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions
Latest Reading Guide

MRG2025CC

 

Shopping Cart
Your cart is empty
 Shopping cart
Mailing List

 

Sign up now