Geodesic
On the automorphisms of a graph product of abelian groups
Mauricio Gutierrez1 ; Adam Piggott2 ; Kim Ruane1
1Tufts University, Medford, USA
2Bucknell University, Lewisburg, USA
Groups, geometry, and dynamics, Tome 6 (2012) no. 1, pp. 125-153

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DOI

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.
DOI : 10.4171/ggd/153
Classification : 20-XX, 00-XX
Mots-clés : Automorphism groups, graph products of groups, right-angled Coxeter groups, right-angled Artin groups

Mauricio Gutierrez  1   ; Adam Piggott  2   ; Kim Ruane  1

1 Tufts University, Medford, USA
2 Bucknell University, Lewisburg, USA 
Mauricio Gutierrez; Adam Piggott; Kim Ruane. On the automorphisms of a graph product of abelian groups. Groups, geometry, and dynamics, Tome 6 (2012) no. 1, pp. 125-153. doi: 10.4171/ggd/153
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