Abstract
We prove that the -invariant word norm on right-angled Artin and right-angled Coxeter groups is unbounded (except in few special cases). To prove unboundedness, we exhibit certain characteristic subgroups. This allows us to find unbounded quasi-morphisms which are Lipschitz with respect to the -invariant word norm.
Citation
Michał Marcinkowski. "Aut-Invariant Word Norm on Right-Angled Artin and Right-Angled Coxeter Groups." Michigan Math. J. 69 (2) 285 - 295, May 2020. https://doi.org/10.1307/mmj/1573873440