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For questions having to do with projective and injective dimensions of modules, global dimension of rings and algebras, and related concepts.
11
votes
Do the homological dimension and cohomological dimension for a group agree?
The cohomological and homological dimension of a group do not agree in general. For example, the homological dimension of the group $Z[\frac{1}{2}]$ is one, while its cohomological dimension is 2. Ho …