Torsion Subgroups of Groups with Quadratic Dehn Function (Memoirs of the American Mathematical Society)

Wagner, Francis

American Mathematical Society（2025/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 180 p.
• 言語 ENG
• 商品コード 9781470477288

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. Maps and Diagrams
3. $S$-machines
4. Auxiliary Machines
5. The Machine $\mathbf {M}$
6. Groups Associated to an $S$-machine
7. Modified Length and Area Functions
8. Diagrams without Disks
9. Diagrams with Disks
10. Upper Bound on the Weight of Minimal Diagrams
11. Proof of Theorem 1.1
12. Proof of Theorem 1.3
13. Proof of Theorem 1.4