Cohomology relative to a G-set and finiteness conditions

Topology and its Applications

Volumn 92, Issue 2, 1999, Pages 153-171

  Nucinkis, Brita E A ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

Cohomological finiteness conditions; Cohomology functors; Group rings; Relative cohomology

Indexed keywords

EID: 0039310092     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(97)00234-4     Document Type: Article

References (11)

1. D.J. Benson, Complexity and variety for infinite groups I, J. Algebra, to appear.
2. D.J. Benson and J.F. Carlson, Products in negative cohomology, J. Pure Appl. Algebra 82 (1992) 107-130.
3. R. Bieri, Homological Dimension of Discrete Groups, Queen Mary College Math. Notes (London, 1976).
4. H. Cartan and S. Eilenberg, Homological Algebra (Princeton Univ. Press, Princeton, 1956).
5. J. Cornick and P.H. Kropholler, Homological finiteness conditions for modules over group algebras, J. London Math. Soc., to appear.
6. J. Cornick and P.H. Kropholler, On complete resolutions, Topology Appl., to appear.
7. L. Fuchs, Infinite Abelian Groups, Vol. II (Academic Press, New York, 1973).
8. ∞, J. Pure Appl. Algebra 90 (1993) 55-67.
9. P.H. Kropholler and C.T.C. Wall, Finite group actions on contractible cell complexes. Preprint.
10. S. MacLane, Homology, Grundl. Math. Wiss. 114, (Springer, Berlin, 3rd ed., 1975).
11. G. Mislin, Tate cohomology for arbitrary groups via satellites, Topology Appl. 56 (1994) 293-300.