
We define a notion of one group acting on a free resolution for another and show how this can lead to a free resolution for the semi-direct product. We apply this result to obtain a free resolution for dihedral groups.
Homological methods in group theory, semi-direct products, free resolution, dihedral groups, Resolutions; derived functors (category-theoretic aspects), 20J05
Homological methods in group theory, semi-direct products, free resolution, dihedral groups, Resolutions; derived functors (category-theoretic aspects), 20J05
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