Mathematics – Dynamical Systems
Scientific paper
2010-07-22
Mathematics
Dynamical Systems
8 pages, 1 figure
Scientific paper
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.
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