2 papers
math.DS2026
Distortion in the group of locally monotone homeomorphisms of a Cantor set and in the group of generalized interval exchange transformations
Nancy Guelman, Emmanuel Militon
Let f be either a generalized interval exchange transformation or a locally monotone homeomorphism of a Cantor subset of the real line. In this article, we prove that the following…
math.GR2026
Some elementary amenable subgroups of interval exchange transformations
Nancy Guelman, Isabelle Liousse
In this paper, we study a family of finitely generated elementary amenable iet-groups. These groups are generated by finitely many rationals iets and rotations. For them, we state…