Cohomology groups of the dihedral groups with coefficients in its cyclic subgroup of index $2$

Asked Jun 25 '21 at 22:31

Active Jun 25 '21 at 22:31

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The group cohomology of the dihedral groups with coefficients in $\mathbb{Z}$ is given in (the references of) this question:

Group cohomology of dihedral groups

question: How to compute the cohomology groups of the dihedral groups with coefficients in its cyclic subgroup of index $2$ by applying the universal coefficiant theorem to the aforementioned results?

asked Jun 25 '21 at 22:31

LSt

What is the action of the group on this subgroup? Is it conjugation in the group? – Derek Holt Jun 26 '21 at 08:08
Yes, it's conjugation in the group. I forgot to mention this. – LSt Jun 26 '21 at 14:27

Cohomology groups of the dihedral groups with coefficients in its cyclic subgroup of index $2$

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