Torsion Subgroups of Groups with Quadratic Dehn Function
Published on 23. September 2025
Book
Paperback/Softback
180 pages
978-1-4704-7728-8 (ISBN)
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-7728-8 (9781470477288)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Person
Francis Wagner, The Ohio State University, Columbus, Ohio
Content
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
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