Let G be a finite group and ka field of characteristic p dividing| G|. Then Greenlees has
developed a spectral sequence whose E2 term is the local cohomology of H*(G, k) with …

Pure injectives and the spectrum of the cohomology ring of a ®nite group Page 1 J. reine
angew. Math. 542 (2002), 23Ð51 Journal fuÈr die reine und angewandte Mathematik ( Walter …

In this paper we extend Tate's cohomology theory for finite groups (cf.[5], Ch. XII) to a certain
class of infinite groups. Our construction was motivated by an attempt to understand why …

1. Introduction. Let G be a finite group and let K be a field of characteristic p> 0. In [1], David
Benson and the author proved that any finitely generated KG-module M has a projective …

Let $ G $ be a group, $ D $ a division ring and $ V $ a $ DG $-module. $ V $ is called finitary
provided that $ V/C_V (g) $ is finite dimensional for all $ g\in G $. We investigate the first and …

On the Vanishing of Group Cohomology Page 1 JOURNAL OF ALGEBRA 131, 40-73 (1990)
On the Vanishing of Group Cohomology DJ BENSON Mathematical Institute, 24-29 St. Giles …

The main result of this paper is an application of the topology of the space Q (X) to obtain
results for the cohomology of the symmetric group on d letters, Σd, with 'twisted'coefficients in …

In [2], Gut and Stammbach derived some of the well-known exact sequences related to the
homology and cohomology of group extensions, without using spectral sequences. In this …

0. Introduction. If G is a group with a finitely generated normal abelian subgroup K, then it is
well known that the isomorphism class of G is determined by (A) the groups K and G/K,(B) …

Let G be a finite group. A (left) G-module A of G is said to be of trivial cohomology when Hn
(H, A)= 0 for all rational integers n and for all subgroups H of G. The main purpose of the …