Towers and the First-Order Theories of Hyperbolic Groups
Author:   Vincent Guirardel ,  Gilbert Levitt ,  Rizos Sklinos
Publisher:   American Mathematical Society
Volume:   Volume: 296 Number: 1477
ISBN:  

9781470469108


Pages:   111
Publication Date:   30 June 2024
Format:   Paperback
Availability:   In Print   Availability explained
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Towers and the First-Order Theories of Hyperbolic Groups


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Overview

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Full Product Details

Author:   Vincent Guirardel ,  Gilbert Levitt ,  Rizos Sklinos
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 296 Number: 1477
Weight:   0.272kg
ISBN:  

9781470469108


ISBN 10:   1470469103
Pages:   111
Publication Date:   30 June 2024
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

1. Introduction 2. Overview of the paper 3. Preliminaries 4. Towers 5. Some properties of towers 6. Towers as an ordering: core and prototypes 7. Elementary equivalence of torsion-free hyperbolic groups 8. Elementary embeddings 9. Partial elementary maps extend to the relative core 10. Examples and counterexamples 11. Minimal and maximal models A. Appendix: Towers are limit groups

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Author Information

Vincent Guirardel, University of Rennes, France, Gilbert Levitt, Universite de Caen, France, and Rizos Sklinos, Chinese Academy of Sciences, Beijing, People's Republic of China.

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