Geodesic
Interval exchanges that do not occur in free groups
Christopher F. Novak1
1University of Michigan-Dearborn, USA
Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 755-763

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DOI

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.
DOI : 10.4171/ggd/173
Classification : 37-XX, 54-XX, 57-XX, 00-XX
Mots-clés : Interval exchange, group action

Christopher F. Novak  1

1 University of Michigan-Dearborn, USA 
Christopher F. Novak. Interval exchanges that do not occur in free groups. Groups, geometry, and dynamics, Tome 6 (2012) no. 4, pp. 755-763. doi: 10.4171/ggd/173
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     title = {Interval exchanges that do not occur in free groups},
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     pages = {755--763},
     year = {2012},
     volume = {6},
     number = {4},
     doi = {10.4171/ggd/173},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/173/}
}
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