Nielsen realisation for untwisted automorphisms of right-angled Artin groups
Sebastian Hensel, Dawid Kielak

TL;DR
This paper proves Nielsen realisation for finite subgroups of untwisted outer automorphisms of right-angled Artin groups, constructing non-positively curved cube complexes that realize these automorphism actions geometrically.
Contribution
It establishes Nielsen realisation for untwisted automorphisms of RAAGs, linking algebraic automorphisms to geometric actions on cube complexes.
Findings
Finite subgroups of untwisted automorphisms can be realized geometrically.
Constructs non-positively curved cube complexes with prescribed automorphism actions.
Bridges algebraic automorphisms and geometric group actions in RAAGs.
Abstract
We prove Nielsen realisation for finite subgroups of the groups of untwisted outer automorphisms of RAAGs in the following sense: given any graph , and any finite group , we find a non-positively curved cube complex with fundamental group on which acts by isometries, realising the action on .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
