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Toward Outer Space for Right Angled Artin Groups
by
Ruth Charney
Brandeis University
Coauthors: Karen Vogtmann and John Crisp
Right-angled Artin groups are finitely generated groups whose only relations are commutator relations between pairs of generators. This class of groups may be thought of as interpolating between free groups (no generators commute) and free abelian groups (all generators commute). Thus, automorphism groups of right-angled Artin groups interpolate between Aut(Fn) and GL(n, Z). We study the automorphism group of a right-angled Artin group A in the case where the defining graph is connected and triangle-free. We establish some algebraic properties of Aut(A) and construct a candidate "outer space" by considering actions of A on 2-dimensional CAT(0) complexes.
Date received: February 12, 2006
Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqu-34.