Group cohomology of free nilpotent groups

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This article gives specific information, namely, group cohomology, about a family of groups, namely: free nilpotent group.
View group cohomology of group families | View other specific information about free nilpotent group

This article describes the group cohomology of the free nilpotent group of nilpotency class c.

Homology groups for trivial group action

FACTS TO CHECK AGAINST (homology group for trivial group action):
First homology group: first homology group for trivial group action equals tensor product with abelianization
Second homology group: formula for second homology group for trivial group action in terms of Schur multiplier and abelianization|Hopf's formula for Schur multiplier
General: universal coefficients theorem for group homology|homology group for trivial group action commutes with direct product in second coordinate|Kunneth formula for group homology

Over the integers

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