2022 - T2 - WS1 - Mapping class groups and Out(Fn)

Collection 2022 - T2 - WS1 - Mapping class groups and Out(Fn)

Organizer(s) Baik, Hyungryul ; Bestvina, Mladen ; Horbez, Camille ; Rafi, Kasra ; Vogtmann, Karen

Date(s) 25/04/2022 - 29/04/2022

linked URL https://indico.math.cnrs.fr/event/6575/

6 15

Tits alternative for the 3-dimensional tame automorphism group

By Piotr Przytycki

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.

Information about the video

Date of recording 26/04/2022
Date of publication 07/05/2024
Institution IHP
Language English
Audience Researchers
Director(s) Florence Lajoinie
Format MP4
Venue IHP - Hermite Amphitheater

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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