Thursday, November 12
Kim Ruane, Tufts University
In recent joint work with R. Charney, N. Stambaugh and A. Vijayan we prove that a finite index subgroup of the automorphism group of a certain type of graph product of finitely generated abelian groups is again a graph product of finitely generated abelian groups. The necessary condition is the "no SILS" condition discovered in previous joint work of mine with A. Piggott and M. Gutierrez. If the original graph product has all finite vertex groups, then this condition implies that the outer automorphism group is finite. One consequence of the new result is that these automorphism groups are virtually CAT(0).
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