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arxiv: 1103.6047 · v1 · pith:BHUPD6FJnew · submitted 2011-03-30 · 🧮 math.GR · math.DS

Free group automorphisms with parabolic boundary orbits

classification 🧮 math.GR math.DS
keywords automorphismsfreegroupparabolicboundaryexamplesexhibitexist
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For $N\geq 4$, we show that there exist automorphisms of the free group $F_N$ which have a parabolic orbit in $\partial F_N$. In fact, we exhibit a technology for producing infinitely many such examples.

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