Nielsen realisation for untwisted automorphisms of right-angled Artin groups

Hensel, Sebastian and Kielak, Dawid (2018): Nielsen realisation for untwisted automorphisms of right-angled Artin groups. In: Proceedings of the London Mathematical Society, Vol. 117: pp. 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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0024-6115
• Language: English