Timeline for Where should I search for computations of group cohomology rings of not-too-complicated finite groups?
Current License: CC BY-SA 4.0
8 events
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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 |