Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584176 | Journal of Algebra | 2015 | 24 Pages |
Abstract
Let 1→A→G→Q→11→A→G→Q→1 be an exact sequence of groups, where A is abelian, Q is polycyclic and ⨂Qk(A⊗ZQ) is finitely generated as QQQQ-module via the diagonal Q -action for k≤2mk≤2m. Moreover we assume that if G is not metabelian, then it is of type FP3FP3. Our main result is thatsupU∈AdimQHj(U,Q)<∞ for 0≤j≤m, where AA is the set of all subgroups of finite index in G.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
D.H. Kochloukova, F.Y. Mokari,