The Nielsen Realization for Untwisted Automorphisms of Right-Angled Artin Groups

Explore a conference talk on the Nielsen realization problem for untwisted automorphisms of right-angled Artin groups (RAAGs). Delve into joint research by Bregman, Charney, and Vogtmann, who constructed an outer space for RAAG automorphism groups. Learn about this contractible, finite-dimensional space where the RAAG automorphism group acts with finite stabilizers. Examine the Nielsen realization problem, which questions whether every finite subgroup of automorphisms has a fixed point under this action. Discover the proof that finite subgroups of untwisted RAAG automorphisms satisfy Nielsen realization. Investigate the proposed strategy for extending this result to all finite subgroups. Gain insights into advanced topics in geometric group theory and the study of automorphism groups during this 57-minute presentation at the Workshop on Cube Complexes and Combinatorial Geometry.