Timeline for (co)homology of cyclic groups
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
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| Aug 24, 2010 at 9:16 | vote | accept | louis de Thanhoffer de Völcsey | ||
| Aug 20, 2010 at 4:01 | comment | added | Ralph | (continuation) The vast cohomology computations of Carlson and Green-King (all 2-groups of order at most 128) rely on the computation of projective resolutions. In this point of view the Benson-Carlson construction is an effective way to compute a projective resolution of minimal complexity: Just compute a projective resolution up to the highest degree of the parameters and apply the construction. | |
| Aug 20, 2010 at 4:00 | comment | added | Ralph | @Mariano: 1. The cohomology of a cyclic group is known anyway. 2. In general, to apply the cited construction, you primarily need (information about) parameters. That's no big deal: For example, you can pick them from Chern classes of a faithful unitary representation. In particular no cohomology compuations are needed to obtain their degrees. | |
| Aug 20, 2010 at 0:27 | comment | added | Mariano Suárez-Álvarez | For this you have to know the cohomology, so it is not that useful in order to compute the cohomology :) | |
| Aug 20, 2010 at 0:24 | history | edited | Ralph | CC BY-SA 2.5 |
added 151 characters in body; added 16 characters in body
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| Aug 20, 2010 at 0:11 | history | answered | Ralph | CC BY-SA 2.5 |