Journal of Mathematical Sciences

, Volume 161, Issue 4, pp 537–541 | Cite as

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.


Russia Finite Group Commutative Ring Group Algebra Group Ring 
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Copyright information

© Springer Science+Business Media, Inc. 2009

Authors and Affiliations

  1. 1.St. Petersburg State UniversitySt. PetersburgRussia

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