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

Michał Marcinkowski

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

Group Theory 2018-08-28 v2

Authors: Michał Marcinkowski

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.

Keywords

aut-invariant word norm right angled artin groups right angled coxeter groups characteristic subgroups unbounded quasimorphisms lipschitz

Cite

@article{arxiv.1803.00294,
  title  = {Aut-invariant word norm on right angled Artin and right angled Coxeter groups},
  author = {Michał Marcinkowski},
  journal= {arXiv preprint arXiv:1803.00294},
  year   = {2018}
}

Comments

13 pages. Accepted to Michigan Mathematical Journal

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