Geometry & Topology
- Geom. Topol.
- Volume 13, Number 2 (2009), 817-855.
Peak reduction and finite presentations for automorphism groups of right-angled Artin groups
We generalize the peak reduction algorithm (Whitehead’s theorem) for free groups to a theorem about a general right-angled Artin group . As an application, we find a finite presentation for the automorphism group that generalizes McCool’s presentation for the automorphism group of a finite rank free group. We also consider a stronger generalization of peak reduction, giving a counterexample and proving a special case.
Geom. Topol., Volume 13, Number 2 (2009), 817-855.
Received: 31 July 2008
Revised: 4 December 2008
Accepted: 22 November 2008
First available in Project Euclid: 20 December 2017
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Day, Matthew B. Peak reduction and finite presentations for automorphism groups of right-angled Artin groups. Geom. Topol. 13 (2009), no. 2, 817--855. doi:10.2140/gt.2009.13.817. https://projecteuclid.org/euclid.gt/1513800218