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I had trouble detecting the article you added to, before I finally resorted to “Recently Revised”: history of cohomology with local coefficients
At present there seems to be discussion of non-abelian $H^2$ but almost nothing on $H^1$, with or without local coefficients. (I point this out as I am trying to write a section in the monograph I am working on, that makes the link between Serre’s definition of non-abelian $H^1(G,A)$ and the corresponding $H^1$ for simplicial profinite spaces. … and the task is proving difficult at the level I am assuming for the reader!
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