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Topics in Geometric Group Theory |
| November 05, 2007 to November 09, 2007 |
| Organized By: Noel Brady, Mike Davis, Mark Feighn |
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| Parent Programs: |
| Geometric Group Theory |
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| Return to Workshop Description |
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Automorphism groups of right-angled Artin groups
Tuesday November 6, 2007
09:00AM - 09:50AM
Speakers:
Karen Vogtmann
Abstract:
This is joint work with Ruth Charney. Right-angled Artin groups (RAAG's) are groups whose only relations are consequences of the stipulation that some of the generators commute; thus they interpolate between free groups and free abelian groups.
RAAG's are conveniently described by drawing a graph whose vertices are the generators of the RAAG, with an edge between two generators if and only if they commute. We discuss progress on understanding finiteness properties of the group of outer automorphisms of a RAAG, particularly in the case when the associated graph is a tree, which is equivalent to the statement that the RAAG is a 3-manifold group.
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