Subgroups and quotient groups of automorphism groups of RAAGs

Ruth Charney; Karen Vogtmann

Subgroups and quotient groups of automorphism groups of RAAGs

Group Theory 2010-03-24 v2

Authors: Ruth Charney , Karen Vogtmann

Abstract

We study subgroups and quotients of outer automorphism groups of right-angled Artin groups (RAAGs). We prove that for all RAAGS, the outer automorphism group is residually finite and, for a large class of RAAGs, it satisfies the Tits alternative. We also investigate which of these automorphism groups contain non-abelian solvable subgroups.

Keywords

right-angled Artin groups outer automorphism groups residually finite Tits alternative non-abelian solvable subgroups subgroups quotient groups

Cite

@article{arxiv.0909.2444,
  title  = {Subgroups and quotient groups of automorphism groups of RAAGs},
  author = {Ruth Charney and Karen Vogtmann},
  journal= {arXiv preprint arXiv:0909.2444},
  year   = {2010}
}

Comments

19 pages, 4 figures. Typos corrected, improvements in exposition.

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