The Bieri-Neumann-Strebel Invariant of the Pure Symmetric Automorphisms\n of a Right-Angled Artin Group

2013/11/09 by Nic Koban, Koban, Nic, Adam Piggott +1 · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1311.2232

openalex publication_date 2013/11/09 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We compute the BNS-invariant for the pure symmetric automorphism groups of\nright-angled Artin groups. We use this calculation to show that the pure\nsymmetric automorphism group of a right-angled Artin group is itself not a\nright-angled Artin group provided that its defining graph contains a separating\nintersection of links.\n

Cited by

• Pure symmetric automorphisms, extensions of RAAGs, and Koszulness
• On the ℓ²-Betti numbers and algebraic fibring of the (outer) automorphism group of a right-angled Artin group
• The McCullough-Miller complex for right angled Artin groups

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• Subspace arrangements, BNS invariants, and pure symmetric outer\n automorphisms of right-angled Artin groups
• Isomorphisms Between Bestsvina--Brady Groups and Right-angled Artin Groups
• The asymptotic geometry of right-angled Artin groups, I
• The McCullough-Miller complex for right angled Artin groups
• On the recognition of right-angled Artin groups