On the Bieri-Neumann-Strebel-Renz invariants and limit groups over Droms RAAGs
| Autor: | Kochloukova, Dessislava H., Zearra, Jone Lopez de Gamiz |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | For a group $G$ that is a limit group over Droms RAAGs such that $G$ has trivial center, we show that $\Sigma^1(G) = \emptyset = \Sigma^1(G, \mathbb{Q})$. For a group $H$ that is a finitely presented residually Droms RAAG we calculate $\Sigma^1(H)$ and $\Sigma^2(H)_{dis}$. In addition, we obtain a necessary condition for $[\chi]$ to belong to $\Sigma^n(H)$. |
| Databáze: | arXiv |
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