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

Autor:	Dessislava H. Kochloukova
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Combinatorics Mathematics::Group Theory General Mathematics Path (graph theory) Graph (abstract data type) Sigma Invariant (mathematics) Mathematics::Algebraic Topology Mathematics - Group Theory Spherical polyhedron Mathematics
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d44aa132b190d920953229eae2392c09 http://arxiv.org/abs/2009.14269 Zobrazit plný text záznamu