The automorphism group of a graph product with no SIL.

zbMath1243.20047arXiv0910.4886MaRDI QIDQ716401

Nathaniel Stambaugh, Anna Vijayan, Kim E. Ruane, Ruth M. Charney

Publication date: 28 April 2011

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0910.4886

zbMATH Keywords

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

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Automorphism groups of groups (20F28) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (11)

A note on semicompleteness of graph products of abelian groups ⋮ Centralizer dimensions and universal theories for partially commutative metabelian groups ⋮ Aut-invariant word norm on right-angled Artin and right-angled Coxeter groups ⋮ Right‐angled Artin groups as finite‐index subgroups of their outer automorphism groups ⋮ Random groups arising as graph products. ⋮ Generalising some results about right-angled Artin groups to graph products of groups. ⋮ Vastness properties of automorphism groups of RAAGs ⋮ On embedding of partially commutative metabelian groups to matrix groups ⋮ Representations of pure symmetric automorphism groups of RAAGs ⋮ On hyperbolicity and virtual freeness of automorphism groups ⋮ Outer automorphism groups of right-angled Coxeter groups are either large or virtually abelian

Cites Work

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• On the automorphisms of a graph product of Abelian groups.
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Lattices acting on right-angled buildings
• Finite index subgroups of graph products.
• Automorphisms of right-angled Coxeter groups.
• Peak reduction and finite presentations for automorphism groups of right-angled Artin groups.
• Automorphisms of two-dimensional RAAGS and partially symmetric automorphisms of free groups.
• Sur le group des automorphismes de certains groupes de Coxeter. (On the automorphism group of certain Coxeter groups)
• Automorphisms of graph-universal Coxeter groups
• Automorphisms of graph groups.
• Arborescent constructions of buildings
• Automorphisms of 2-dimensional right-angled Artin groups.
• An introduction to right-angled Artin groups.
• A GENERATING SET FOR THE AUTOMORPHISM GROUP OF A GRAPH PRODUCT OF ABELIAN GROUPS
• RIGIDITY OF GRAPH PRODUCTS OF ABELIAN GROUPS
• Finiteness properties of automorphism groups of right-angled Artin groups
• The K(π, 1)-Problem for Hyperplane Complements Associated to Infinite Reflection Groups
• A Generating Set for the Automorphism Group of a Graph Group

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