On the automorphisms of a graph product of abelian groups
Mauricio Gutierrez
Tufts University, Medford, USAAdam Piggott
Bucknell University, Lewisburg, USAKim Ruane
Tufts University, Medford, USA
![On the automorphisms of a graph product of abelian groups cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-ggd-volume-6-issue-1.png&w=3840&q=90)
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