Timeline for mod p cohomology of a p-group P vs. the one of P/Z(G)
Current License: CC BY-SA 4.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 23 at 14:17 | comment | added | IJL | I imagine that you are aware of the Lyndon-Hochschild-Serre spectral sequence, with $E_2^{i,j}= H^i(P/Z)\otimes H^j(Z)$ and converging to a filtration of $H^*(P)$? As Denis T says, the answer to your question is probably `no' in general, but not many computations have been done. | |
| Aug 21 at 12:46 | comment | added | Denis T | In case when P is extraspecial, then the answer is yes, because corestriction is just a quotient map from the cohomology of elementary (which is a polynomial algebra generated by Bocksteins of H^1 = P/Z(P)*) to the cohomology of P. In general I suspect it's not true. | |
| Aug 21 at 12:37 | history | asked | Geoffrey Janssens | CC BY-SA 4.0 |