Nielsen realisation for untwisted automorphisms of right-angled Artin groups

Hensel, Sebastian und Kielak, Dawid (2018): Nielsen realisation for untwisted automorphisms of right-angled Artin groups. In: Proceedings of the London Mathematical Society, Bd. 117: S. 901-950

Abstract

We prove Nielsen realisation for finite subgroups of the groups of untwisted outer automorphisms of RAAGs in the following sense: given any graph Gamma, and any finite group G <= U0(A Gamma)<= Out 0(A Gamma), we find a non-positively curved cube complex with fundamental group A Gamma on which G acts by isometries, realising the action on A Gamma.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0024-6115
• Sprache: Englisch