On the automorphisms of a graph product of abelian groups
Group Theory
2019-02-07 v1
Abstract
We study the automorphisms of a graph product of finitely-generated abelian groups W. More precisely, we study a natural subgroup Aut* W of Aut W, with Aut* W = Aut W 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 of Aut* W in which one of the factors is Inn W. We also give a number of applications, some of which are geometric in nature.
Keywords
Cite
@article{arxiv.0710.2573,
title = {On the automorphisms of a graph product of abelian groups},
author = {Mauricio Gutierrez and Adam Piggott and Kim Ruane},
journal= {arXiv preprint arXiv:0710.2573},
year = {2019}
}
Comments
38 pages, 4 figures