Vol. 312, No. 1, 2021

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On the Bieri–Neumann–Strebel–Renz $\Sigma^1$-invariant of even Artin groups

Dessislava H. Kochloukova

Vol. 312 (2021), No. 1, 149–169

We calculate the Bieri–Neumann–Strebel–Renz invariant Σ1(G) for even Artin groups G with underlying graph Γ such that if there is a closed reduced path in Γ with all labels bigger than 2 then the length of such a path is always odd. We show that Σ1(G)c is a rationally defined spherical polyhedron.

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even Artin groups, $\Sigma$-invariants
Mathematical Subject Classification
Primary: 20J05
Received: 21 October 2020
Revised: 13 February 2021
Accepted: 15 February 2021
Published: 4 August 2021
Dessislava H. Kochloukova
Department of Mathematics
University of Campinas