[GAP Forum] Cohomology of nontrivial G-modules?

Dima Pasechnik dmitrii.pasechnik at cs.ox.ac.uk
Wed Nov 11 16:34:06 GMT 2015


On Wed, Nov 11, 2015 at 10:52:29AM -0500, Benoit Jacob wrote:
> I need to compute cohomology groups of the form
> 
>     H^n(G, A)
> 
> where G is a finite group and A is a nontrivial G-module. More
> specifically, A is a finite-dimensional vector space over Z/2Z on which G
> acts non-trivially.
> 
> Any example code would be greatly appreciated; I searched for existing help
> and documentation but only found examples dealing with trivial G-modules.

did you look at GAP's packages? E.g.
http://gap-system.org/Packages/hap.html
seems to be just what you need.

HTH,
Dima



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