Artículos de revistas
The ∑3-conjecture For Metabelian Groups
Registro en:
Journal Of The London Mathematical Society. , v. 67, n. 3, p. 609 - 625, 2003.
246107
2-s2.0-0038577067
Autor
Harlander J.
Kochloukova D.H.
Institución
Resumen
The ∑3-conjecture for metabelian groups is proved in the split extension case. 67 3 609 625 Åberg, H., Bieri-Strebel valuations (of finite rank) (1986) Proc. London Math. Soc. (3), 52, pp. 269-304 Bieri, R., Homological dimension of discrete groups, 2nd edn (1981) Queen Mary College Mathematics Notes, , Queen Mary College, London Bieri, R., Geoohegan, R., Kernels of actions on non-positively curved spaces (1998) London Mathematical Society Lecture Note Series, 252, pp. 24-38. , Geometry and cohomology in group theory (Durham, 1994), Cambridge University Press, Cambridge Bieri, R., Geoghegan, R., Connectivity Properties of Group Actions on Non-positively Curved Spaces. I: Controlled Connectivity and Openness Results, , preprint Bieri, R., Geoghegan, R., Connectivity Properties of Group Actions on Non-positively Curved Spaces. II: The Geometric Invariants, , preprint Bieri, R., Groves, J.R.J., Metabelian groups of type FP∞ are virtually of type FP (1982) Proc. London Math. Soc. (3), 45, pp. 365-384 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., Harlander, J., On the FP3-conjecture for metabelian groups (2001) J. London Math. Soc. (2), 64, pp. 595-610 Bieri, R., Harlander, J., A remark on the polyhedrality theorem for the ∑-invariants of modules over abelian groups (2001) Math. Proc. Cambridge Philos. Soc., 131, pp. 39-43 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. (3), 41, pp. 439-464 Bieri, R., Neumann, W.D., Strebel, R., A geometric invariant for discrete groups (1987) Invent. Math., 90, pp. 451-477 Bux, K.U., Finiteness properties of certain metabelian arithmetic groups in the function field case (1997) Proc. London Math. Soc. (3), 75, pp. 308-322 Harlander, J., Kochloukova, D.H., The ∑2-conjecture: The general case J. Algebra, , to appear Kochloukova, D.H., The FPm-conjecture for a class of metabelian groups (1996) J. Algebra, 184, pp. 1175-1204 Kochloukova, D.H., (1997) The FPm-Conjecture for a Class of Metabelian Groups, , PhD Thesis, University of Cambridge Kochloukova, D.H., The ∑2-conjecture for metabelian groups and some new conjectures: The split extension case (1999) J. Algebra, 222, pp. 357-375 Kochloukova, D.H., The ∑m-conjecture for a class of metabelian groups (1999) London Mathematical Society Lecture Note Series, 261, pp. 492-503. , Groups, St Andrews, Bath, 1997 (Cambridge University Press) Kochloukova, D.H., More about the geometric invariants ∑m(G) and ∑m(G,ℤ) for groups with normal locally polycyclic-by-finite subgroups (2001) Math. Proc. Cambridge Philos. Soc., 130, pp. 295-306 Meinert, H., The homological invariants for metabelian groups of finite Prüfer rank: A proof of the ∑m-conjecture (1996) Proc. London Math. Soc., 72, pp. 385-424 Meinert, H., Actions on 2-complexes and the homotopical invariant ∑2 of a group (1997) J. Pure Appl. Algebra, 119, pp. 297-317 Noskov, G.A., The Bieri-Strebel invariant and homological finiteness conditions for metabelian groups (1997) Algebra i Logika, 36, pp. 194-218