Towers and the First-Order Theories of Hyperbolic Groups (Memoirs of the American Mathematical Society)

Guirardel, Vincent/ Levitt, Gilbert/ Sklinos, Rizos

American Mathematical Society（2024/06発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 111 p.
• 言語 ENG
• 商品コード 9781470469108
• DDC分類 512.2

Full Description

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.

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