Timeline for Lower central series quotients in terms of (co)homology
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Nov 25, 2016 at 5:47 | answer | added | Denis T | timeline score: 3 | |
| Sep 5, 2016 at 10:07 | vote | accept | SashaP | ||
| Dec 6, 2016 at 12:01 | |||||
| May 21, 2016 at 0:39 | vote | accept | SashaP | ||
| Sep 5, 2016 at 10:07 | |||||
| Apr 28, 2016 at 7:13 | comment | added | SashaP | @DylanWilson It seems that this is what I'm looking for. Could you please elaborate or give a reference? | |
| Apr 18, 2016 at 15:58 | answer | added | He Wang | timeline score: 5 | |
| Apr 18, 2016 at 6:07 | answer | added | David C | timeline score: 6 | |
| Apr 18, 2016 at 5:43 | comment | added | მამუკა ჯიბლაძე | Moving backwards I would suggest using higher Hopf type formulæ by Brown and Ellis for expressing $H_n(G)$ and subsequent work (sorry cannot locate relevant references) interpreting ingredients of these formulæ in terms of nonabelian exterior powers | |
| Apr 18, 2016 at 0:20 | comment | added | Dylan Wilson | Fix a prime. The p-lower series has associated graded a restricted Lie algebra and we get a spectral sequence starting from restricted Lie algebra cohomology and converging to group cohomology. Restricted Lie algebra cohomology can in turn be computed from a spectral sequence starting with ordinary Lie algebra cohomology (which can be computed with a Koszul complex). I wonder of your observations (for a p-group) follow from low-degree considerations of this set-up, while higher degrees will be messier in general because there could be room for differentials? | |
| Apr 17, 2016 at 23:30 | history | asked | SashaP | CC BY-SA 3.0 |