Symbolic approach and induction in the Heisenberg group
Jean-Francois Bertazzon
Discrete & Continuous Dynamical Systems - A 2012, 32(4): 1209-1229 doi: 10.3934/dcds.2012.32.1209
We associate a homomorphism in the Heisenberg group to each hyperbolic unimodular automorphism of the free group on two generators. We show that the first return-time of some flows in "good" sections, are conjugate to niltranslations, which have the property of being self-induced.
keywords: induction. Heisenberg group renormalization

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