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A Note on the Cohomology of Finite-Dimensional Cocommutative Hopf Algebras

✍ Scribed by John H. Palmieri

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
162 KB
Volume
188
Category
Article
ISSN
0021-8693

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✦ Synopsis

In the context of finite-dimensional cocommutative Hopf algebras, we prove versions of various group cohomology results: the Quillen᎐Venkov theorem on detecting nilpotence in group cohomology, Chouinard's theorem on determining whether a kG-module is projective by restricting to elementary abelian p-subgroups of G, and Quillen's theorem which identifies the cohomology of G, ''modulo nilpotent elements.'' This last result is only proved for graded connected Hopf algebras.

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