Peak reduction and finite presentations for automorphism groups of right-angled Artin groups
Group Theory
2014-11-11 v1
Abstract
We generalize the peak-reduction algorithm (Whitehead's theorem) for free groups to a theorem about a general right-angled Artin group A_Gamma. As an application, we find a finite presentation for the automorphism group Aut A_Gamma that generalizes McCool's presentation for the automorphism group of a finite rank free group. We also give consider a stronger generalization of peak-reduction, giving a counterexample and proving a special case.
Keywords
Cite
@article{arxiv.0807.4799,
title = {Peak reduction and finite presentations for automorphism groups of right-angled Artin groups},
author = {Matthew B. Day},
journal= {arXiv preprint arXiv:0807.4799},
year = {2014}
}
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41 pages