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We show that the Aut-invariant word norm on right angled Artin and rightangled Coxeter groups is unbounded (except in few special cases). To proveunboundedness we exhibit certain characteristic subgroups. This allows us tofind unbounded quasimorphisms which are Lipschitz with respect to theAut-invariant word norm.

Aut-invariant word norm on right angled Artin and right angled Coxeter groups