Aut-invariant word norm on right angled Artin and right angled Coxeter groups
arXiv:1803.00294
Abstract
We show that the Aut-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 quasimorphisms which are Lipschitz with respect to the Aut-invariant word norm.
13 pages. Accepted to Michigan Mathematical Journal