Artikel
Lizenziert
Nicht lizenziert
Erfordert eine Authentifizierung
Modules of type FP2 over the integral group algebra of a metabelian group
Veröffentlicht/Copyright:
8. September 2005
Abstract
We establish a sufficient condition for some modules M over the group algebra ℤ[G ] to be of homological type FP2, where G is a finitely generated split extension of abelian groups. This generalizes a result of Bieri and Strebel [R. Bieri and R. Strebel. Valuations and finitely presented metabelian groups. Proc. London Math. Soc. (3) 41 (1980), 439–464] when M is the trivial module ℤ and it establishes a special case of [D. H. Kochloukova. A new characterisation of m -tame groups over finitely generated abelian groups. J. London Math. Soc. (2) 60 (1999), 802–816, Conjecture K. S. Brown. Cohomology of groups (Springer-Verlag, 1982)].
:
Published Online: 2005-09-08
Published in Print: 2005-09-19
Walter de Gruyter GmbH & Co. KG
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Sie haben derzeit keinen Zugang zu diesem Inhalt.
Artikel in diesem Heft
- Abelian subgroups of small index in finite p-groups
- Non-divisibility among character degrees
- Some remarks on the k(GV ) theorem
- On formations with the Kegel property
- Good tori in groups of finite Morley rank
- The existence of Carter subgroups in groups of finite Morley rank
- Extensions of characters of discrete torsion-free nilpotent groups
- Modules of type FP2 over the integral group algebra of a metabelian group
Artikel in diesem Heft
- Abelian subgroups of small index in finite p-groups
- Non-divisibility among character degrees
- Some remarks on the k(GV ) theorem
- On formations with the Kegel property
- Good tori in groups of finite Morley rank
- The existence of Carter subgroups in groups of finite Morley rank
- Extensions of characters of discrete torsion-free nilpotent groups
- Modules of type FP2 over the integral group algebra of a metabelian group
