Group cohomology of dicyclic groups
This article gives specific information, namely, group cohomology, about a family of groups, namely: dicyclic group.
View group cohomology of group families | View other specific information about dicyclic group
We consider here the dicyclic group of degree and order .
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 for odd degree
The homology groups with coefficients in the ring of integers are as follows when the degree is odd.
Over the integers for even degree
The homology groups with coefficients in the ring of integers are as follows when the degree is even.