2022 - T2 - Groups acting on fractals, hyperbolicity and self-similarity

Collection 2022 - T2 - Groups acting on fractals, hyperbolicity and self-similarity

Organizer(s) Dahmani, François ; Erschler, Anna ; Horbez, Camille ; Wise, Dani
Date(s) 11/04/2022 - 08/07/2022
linked URL https://indico.math.cnrs.fr/event/5849/
7 55

Tits alternative for the 3-dimensional tame automorphism group

By Piotr Przytycki

Also appears in collection : 2022 - T2 - WS1 - Mapping class groups and Out(Fn)

This is joint work with Stephane Lamy. Let $k$ be a field of characteristic zero. The tame automorphism group Tame$(k^3)$ is generated by the affine automorphisms of $k^3$, and the automorphisms of the form $(x,y,z) → (x,y,z + P(x,y))$, where P is a polynomial in $k[x,y]$. We prove that every subgroup of Tame$(k^3)$ is virtually solvable or contains a nonabelian free group.

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Citation data

  • DOI 10.57987/IHP.2022.T2.WS1.006
  • Cite this video Przytycki, Piotr (26/04/2022). Tits alternative for the 3-dimensional tame automorphism group. IHP. Audiovisual resource. DOI: 10.57987/IHP.2022.T2.WS1.006
  • URL https://dx.doi.org/10.57987/IHP.2022.T2.WS1.006

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