On the automorphisms of a graph product of abelian groups

  • Mauricio Gutierrez

    Tufts University, Medford, USA
  • Adam Piggott

    Bucknell University, Lewisburg, USA
  • Kim Ruane

    Tufts University, Medford, USA

Abstract

We study the automorphisms of a graph product of finitely generated abelian groups . More precisely, we study a natural subgroup of , with whenever vertex groups are finite and in a number of other cases. We prove a number of structure results, including a semi-direct product decomposition . We also give a number of applications, some of which are geometric in nature.

Cite this article

Mauricio Gutierrez, Adam Piggott, Kim Ruane, On the automorphisms of a graph product of abelian groups. Groups Geom. Dyn. 6 (2012), no. 1, pp. 125–153

DOI 10.4171/GGD/153