Published January 8, 2009
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Journal Article
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Peak reduction and finite presentations for automorphism groups of right-angled Artin groups
- Creators
- Day, Matthew B.
Abstract
We generalize the peak reduction algorithm (Whitehead's theorem) for free groups to a theorem about a general right-angled Artin group AΓ. As an application, we find a finite presentation for the automorphism group AutAΓ 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.
Additional Information
© 2009 Mathematical Sciences Publishers. Received: 31 July 2008 Revised: 4 December 2008 Accepted: 22 November 2008 Published: 8 January 2009 Proposed: Walter Neumann Seconded: Joan Birman, Leonid Polterovich. Mathematical Subject Classification Primary: 20F28, 20F36 Secondary: 20F05Attached Files
Published - Day2009p1244Geom_Topol.pdf
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Day2009p1244Geom_Topol.pdf
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Additional details
- Eprint ID
- 15205
- Resolver ID
- CaltechAUTHORS:20090821-074511584
- Created
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2009-09-09Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field