Affiliation:
1. Department of Mathematics ETH Zurich Zurich Switzerland
Abstract
AbstractWe prove that every right‐angled Artin group occurs as a finite‐index subgroup of the outer automorphism group of another right‐angled Artin group. We furthermore show that the latter group can be chosen in such a way that the quotient is isomorphic to for some . For these, we give explicit constructions using the group of pure symmetric outer automorphisms. Moreover, we need two conditions by Day–Wade and Wade–Brück about when this group is a right‐angled Artin group and when it has finite index.
Reference17 articles.
1. The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
2. Kommutationsgleichungen in semifreien gruppen
3. Morse theory and finiteness properties of groups
4. C.Bregman R.Charney andK.Vogtmann Outer space for raags 2020.https://doi.org/10.48550/ARXIV.2007.09725
5. B.Brück Computations for out(raags) 2021. Python code. URL:https://github.com/benjaminbrueck/computations_for_roars
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