On the Bieri-Neumann-Strebel-Renz invariants and limit groups over Droms RAAGs

2021/06/14 by Dessislava H. Kochloukova, Kochloukova, Dessislava H., Jone Lopez de Gamiz Zearra +1
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.2106.07293

arxiv created 2021/06/14 · arxiv updated 2021/06/15

Abstract

For a group G that is a limit group over Droms RAAGs such that G has trivial center, we show that Σ¹(G) = ∅ = Σ¹(G, ℚ). For a group H that is a finitely presented residually Droms RAAG we calculate Σ¹(H) and Σ²(H)_dis. In addition, we obtain a necessary condition for [χ] to belong to Σⁿ(H).

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