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Nov 26, 2019 at 20:31 comment added Dev Sinha I would also recommend King's site. But since $S_n$ in general was mentioned, let me cite front.math.ucdavis.edu/0909.3292 with mod-p done by Guerra (published at AGT) and and for $A_n$ mod-two front.math.ucdavis.edu/1705.01141
Nov 22, 2019 at 15:37 comment added Arun Debray @user43326 and Chris Gerig: thank you for the references!
Nov 22, 2019 at 15:35 vote accept Arun Debray
Nov 22, 2019 at 3:24 history became hot network question
Nov 21, 2019 at 20:36 comment added Chris Gerig For dihedral groups: Handel's paper "On products in the cohomology of the Dihedral groups".
Nov 21, 2019 at 20:04 answer added Drew Heard timeline score: 31
Nov 21, 2019 at 19:53 comment added user43326 For $\mathbb Z$ coefficients, it is a bit difficult. But for ${\mathbb Z}/2$ coefficients, for $S_4$, you can find in Adem & Milgram, for $D_n$, probably it is also in Adm-Milgram, but it is certainly in MacLane. For $S_5$ and $A_5$, it follows from the computation of $S_4$ and $A_4$ if you only care about mod $2$ coefficient, but it is unlikely to find an "explicit" expression for these. Well, probably you can look Kechagias for cohomology ring of $S_n$ in general. Anyway, the ring structure, in these case, is known completely (for mod 2 coefficients).
Nov 21, 2019 at 19:09 history asked Arun Debray CC BY-SA 4.0