Volume 13, issue 2 (2009)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 20
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Subscriptions
Author Index
To Appear
Contacts
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Peak reduction and finite presentations for automorphism groups of right-angled Artin groups

Matthew B Day

Geometry & Topology 13 (2009) 817–855
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.

Keywords
peak reduction, right-angled Artin group, finite presentation
Mathematical Subject Classification 2000
Primary: 20F36, 20F28
Secondary: 20F05
References
Publication
Received: 31 July 2008
Revised: 4 December 2008
Accepted: 22 November 2008
Published: 8 January 2009
Proposed: Walter Neumann
Seconded: Joan Birman, Leonid Polterovich
Authors
Matthew B Day
Department of Mathematics
California Institute of Technology
1200 E California Blvd
Pasadena, CA 91101
USA
http://www.its.caltech.edu/~mattday