Timeline for Group cohomology without G-modules (a.k.a. what does this bar construction compute?)
Current License: CC BY-SA 3.0
3 events
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| Mar 6, 2014 at 12:14 | comment | added | Tim Porter | Another useful source for some of this is Duskin's AMS Memoir: . Duskin, 1975, Simplicial methods and the interpretation of “triple” cohomology., number 163 in Mem. Amer. Math. Soc., 3, Amer. Math. Soc. | |
| Mar 6, 2014 at 12:11 | comment | added | Tim Porter | That abelianisation functor will work I think and is in the old stuff by Barr and Beck from the 1960s, I think. The derived module technology (for groups) is less well known although Quilen mentions Jon Beck's thesis I believe, and is described in one of the sections of my Menagerie notes (see my nLab page). Applying the derived module functor then the Dold-Kan gives the bar resolution (or nearly). | |
| Mar 6, 2014 at 10:51 | history | answered | Zhen Lin | CC BY-SA 3.0 |