Maximum orders of periodic maps on closed surfaces
โ Scribed by Shicheng Wang
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 544 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0166-8641
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Iterations of a special one-dimensional map (trapezoid map) which is a piecewise linear map with a flat top are studied. Using a symbolic dynamical method, it is shown that the stable periodic orbits of the map are characterized as finite shift maximal sequences in the sense extended by Sun and Helm
Let F n be a free group with rank n, and denote by Out F n its outer automorphism group. For arbitrary n, consider the orders of periodic elements in Out F n or, equivalently, the orders of finite cyclic subgroups of Out F n . By considering group actions on finite connected graphs, we obtained the