## Topology & Geometric Group Theory Seminar

## Spring 2008

### 1:30 - 2:30, Malott 207

Tuesday, April 22

**Karen
Vogtmann**, Cornell University

*Automorphism groups of right-angled Artin groups*

This is joint work with Ruth Charney. Right-angled Artin groups
(RAAG's) interpolate between free groups and free abelian groups: they
are described by giving a set of generators, some of which commute.
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 study finiteness properties of the group
of outer automorphisms of a RAAG, particularly in the the case where
the graph has no triangles.

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