Centralizers and Iterate Radicals of Morse-Smale Diffeomorphisms of the Circle

Authors
Meirong, Zhang
Citation
Meirong, Zhang, Centralizers and Iterate Radicals of Morse-Smale Diffeomorphisms of the Circle, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 11(1), 1995, pp. 1-11
Journal title
Acta Mathematica Sinica, New Series Chinese Journal of Mathematics → ACNP
ISSN journal
10009574
Volume
11
Issue
1
Year of publication
1995
Pages
1 - 11
Database
ACNP
SICI code
Abstract
In this paper, we will use the embedding flows in [1], [2] to give a complete description of the smooth centralizers and iterate radi8cals of all C² (r . 2) Morse-Smale diffeomorphisms of the circle S¹. As a resulti, we prove that every centralizer is a solvable subgroups of Diff.(S¹).