On the automorphisms of a graph product of Abelian groups.

DOI10.4171/GGD/153zbMath1242.20041arXiv0710.2573MaRDI QIDQ763712

Adam Piggott, Mauricio A. Gutiérrez, Kim E. Ruane

Publication date: 29 March 2012

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2573

zbMATH Keywords

automorphism groupsright-angled Artin groupsright-angled Coxeter groupsgraph products of groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (17)

Polish topologies for graph products of cyclic groups ⋮ Unnamed Item ⋮ Group metrics for graph products of cyclic groups ⋮ Aut-invariant word norm on right-angled Artin and right-angled Coxeter groups ⋮ Computable Scott sentences for quasi-Hopfian finitely presented structures ⋮ Serre's property FA for automorphism groups of free products ⋮ Vastness properties of automorphism groups of RAAGs ⋮ Outer automorphism groups of graph products: subgroups and quotients ⋮ Automorphisms of partially commutative groups. I: Linear subgroups. ⋮ The automorphism group of a graph product with no SIL. ⋮ CONJUGATING AUTOMORPHISMS OF GRAPH PRODUCTS: KAZHDAN’S PROPERTY (T) AND SQ-UNIVERSALITY ⋮ On systems of equations over free partially commutative groups ⋮ Representations of pure symmetric automorphism groups of RAAGs ⋮ On hyperbolicity and virtual freeness of automorphism groups ⋮ Virtually splitting the map from $\operatorname {Aut}(G)$ to $\operatorname {Out}(G)$ ⋮ Outer automorphism groups of right-angled Coxeter groups are either large or virtually abelian ⋮ The Bieri-Neumann-Strebel invariant of the pure symmetric automorphisms of a right-angled Artin group.

Cites Work

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• On the automorphisms and the rigidity of right angled Coxeter groups.
• Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups.
• Cut points and canonical splittings of hyperbolic groups

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