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3. Induced equivariant chain maps

3. Induced equivariant chain maps

EquivariantChainMap(R,S,f)

Inputs a ZG-resolution R, a ZG'-resolution S, and a group homomorphism f : G --> G'. It outputs a component object M with the following components.

  • M!.source is the resolution R.

  • M!.target is the resolution S.

  • M!.mapping(w,n) is a function which gives the image in S_n, under a chain map induced by f, of a word w in R_n. (Here R_n and S_n are the n-th modules in the resolutions R and S.)

  • F!.properties is a list of pairs such as ["type", "equivariantChainMap"].

The resolution S must have a contracting homotopy.


 


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