Bimodule resolution of a group algebra
Relationship between the bimodule resolution of the group algebra of a finite group G over a commutative ring and the usual projective resolution of the trivial G-module is studied. In particular, an analog of Happel’s lemma is proved; this lemma has been established earlier for finite-dimensional algebras over fields. As an example of application of the results, the bimodule resolution is constructed for the integer group ring of the dihedral group of order 4m. Bibliography: 10 titles.
Unable to display preview. Download preview PDF.
- 1.A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups,” Algebra Analiz, 21, No. 2 (2009), to appear.Google Scholar
- 4.D. J. Benson, Representations and Cohomology. I: Basic Representation Theory of Finite Groups and Associative Algebras, Cambridge University Press (1991).Google Scholar