Group cohomology of dihedral group:D16
This article gives specific information, namely, group cohomology, about a particular group, namely: dihedral group:D16.
View group cohomology of particular groups | View other specific information about dihedral group:D16
This article describes the homology and cohomology group of dihedral group:D16, the dihedral group of order 16 and degree 8.
Contents
Family contexts
Family name | Parameter value | Information on group cohomology of family |
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dihedral group ![]() ![]() ![]() |
degree ![]() ![]() |
group cohomology of dihedral groups |
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
The homology groups with coefficients in the integers are given as follows:
The first few homology groups are as follows:
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