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

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 نشر من قبل Dessislava Kochloukova
 تاريخ النشر 2020
  مجال البحث
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We calculate the Bieri-Neumann-Strebel-Renz invariant $Sigma^1(G)$ for even Artin groups $G$ with underlying graph $Gamma$ such that if there is a closed reduced path in $Gamma$ with all labels bigger than 2 then the length of such path is always odd. We show that $Sigma^1(G)^c$ is a rationally defined spherical polyhedron.



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