Timeline for Group cohomology of modular representations for finite groups of Lie type
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 11, 2020 at 21:32 | comment | added | Derek Holt | They are done in papers by G.W. Bell, On the cohomology of the special lienar groups I and II in Journal of Algebra, Volume 54, Issue 1, September 1978. That might not be the earliest reference for these specific results. | |
| Jan 11, 2020 at 19:23 | comment | added | Zhiyu | @DerekHolt Thanks, can you give a reference for $i=1,2$? | |
| Jan 11, 2020 at 9:28 | comment | added | Derek Holt | You mean how about $q=2$. They are known for $i=1$ and $2$, but I am afraid that I don't know of any results for higher $i$ (although some smaller examples could be computed). | |
| Jan 11, 2020 at 3:30 | comment | added | Zhiyu | @DerekHolt Yes, this is exactly the trick in the link. How about the case $p=2$? | |
| Jan 7, 2020 at 17:22 | answer | added | Jim Humphreys | timeline score: 3 | |
| Jan 6, 2020 at 22:44 | comment | added | Derek Holt | In the baby example you ask about in the first paragraph, the cohomology groups are zero whenever $q>2$, because there are nontrivial central elements of the group acting fixed-point-freely on the module. | |
| Jan 6, 2020 at 19:24 | history | edited | Zhiyu | CC BY-SA 4.0 |
added 155 characters in body
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| Jan 6, 2020 at 18:45 | history | asked | Zhiyu | CC BY-SA 4.0 |