On the automorphisms of a graph product of abelian groups

Mauricio Gutierrez; Adam Piggott; Kim Ruane

doi:10.4171/GGD/153

On the automorphisms of a graph product of abelian groups

Mauricio Gutierrez^*
, Adam Piggott
, Kim Ruane

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

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 Aut* W = (Inn W × Out⁰ W)× Aut¹ W. We also give a number of applications, some of which are geometric in nature.

Original language	English
Pages (from-to)	125-153
Number of pages	29
Journal	Groups, Geometry, and Dynamics
Volume	6
Issue number	1
DOIs	https://doi.org/10.4171/GGD/153
Publication status	Published - 2012
Externally published	Yes

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KW - Right-angled Artin groups

KW - Right-angled Coxeter groups

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On the automorphisms of a graph product of abelian groups

Abstract

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