1. Homology of Centralizers.
- Author
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Mikhailov, Roman and Passi, Inder BirS.
- Subjects
- *
HOMOLOGY theory , *ALGEBRAIC topology , *GROUP algebras , *GROUP theory , *FINITE groups - Abstract
Given a group Π, we study the group homology of centralizers Πg, g ∈ Π, and of their central quotients Πg/〈 g〉. This study is motivated by the structure of the Hochschild and the cyclic homology of group algebras, and is based on Quillen's approach to the cyclic homology of algebras via algebra extensions. A method of computing the de Rham complex of a group algebra by means of a Gruenberg resolution is also developed. [ABSTRACT FROM AUTHOR]
- Published
- 2007
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