2010/07/22 by Christopher F. Novak, Novak, Christopher F.
Mathematics · #28D15 (Secondary) #37E05 #54H15 (Primary) 57M60 #Advanced Topology and Set Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Equations Stability Results #Mathematical Dynamics and Fractals
paper · pdf · doi:10.48550/arxiv.1007.3940
openalex publication_date 2010/07/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A disjoint rotation map is an interval exchange transformation (IET) on the unit interval that acts by rotation on a finite number of invariant subintervals. It is currently unknown whether the group E of all IETs possesses any non-abelian free subgroups. It is shown that it is not possible for a disjoint rotation map to occur in a subgroup of E that is isomorphic to a non-abelian free group.