Artículos de revistas
The Σ1-invariant For Some Artin Groups Of Rank 3 Presentation
Registro en:
Communications In Algebra. Taylor And Francis Inc., v. 43, n. 2, p. 702 - 718, 2015.
927872
10.1080/00927872.2013.843093
2-s2.0-84910002758
Autor
Almeida K.
Kochloukova D.
Institución
Resumen
We classify the Bieri–Neumann–Strebel–Renz invariant Σ1(G) for a class of Artin groups based on the full graph with 4 vertices. 43 2 702 718 Almeida, K., Artin groups of rank 2 presentation. In preparationAlmeida, K., Kochloukova, D., The Σ1-invariant for Artin groups of circuit rank 1. To appear in Forum MathematicumBieri, R., (1981), Homological dimension of discrete groups, 2nd Ed., Queen Mary College Math Notes, Queen Mary College, Dept. Pure Mathematics, London, 1981Bieri, R., Geoghegan, R., Kochloukova, D.H., The sigma invariants of Thompson's group F (2010) Groups Geom. Dyn., 4 (2), pp. 263-273 Bieri, R., Groves, J.R.J., The geometry of the set of characters induced by valuations (1984) J. Reine Angew. Math., 347, pp. 168-195 Bieri, R., Neumann, W.D., Strebel, R., A geometric invariant of discrete groups (1987) Invent. Math, 90, pp. 451-477 Bieri, R., Renz, B., Valuations on free resolutions and higher geometric invariants of groups (1988) Comment. Math. Helv., 63, pp. 464-497 Bieri, R., Strebel, R., Valuations and finitely presented metabelian groups (1980) Proc. London Math. Soc., 41 (3), pp. 439-464 Kochloukova, D., (2012), On the Σ2-invariants of the generalised R. Thompson groups of type F. Journal of Algebra 371:430–456Meinert, H., The homological invariants for metabelian groups of finite Prüfer rank: A proof of the Σm-conjecture (1996) Proc. London Math. Soc., 72 (2), pp. 385-424 Meier, J., Meinert, H., VanWyk, L., On the Σ-invariants of Artin groups (2001) Topology and Its Applications, 110, pp. 71-81 Renz, B., (1988), Geometrische Invarianten Endlichkeitseigenschaften von Gruppen. Dissertation. Universität Frankfurt a.M