TY - JOUR
T1 - On the automorphisms of a graph product of abelian groups
AU - Gutierrez, Mauricio
AU - Piggott, Adam
AU - Ruane, Kim
PY - 2012
Y1 - 2012
N2 - 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.
AB - 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.
KW - Automorphism groups
KW - Graph products of groups
KW - Right-angled Artin groups
KW - Right-angled Coxeter groups
UR - http://www.scopus.com/inward/record.url?scp=84857351859&partnerID=8YFLogxK
U2 - 10.4171/GGD/153
DO - 10.4171/GGD/153
M3 - Article
SN - 1661-7207
VL - 6
SP - 125
EP - 153
JO - Groups, Geometry, and Dynamics
JF - Groups, Geometry, and Dynamics
IS - 1
ER -