Timeline for Cohomology analogue for central series of length more than two
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| S Nov 9, 2013 at 9:03 | history | suggested | Abhimanyu Pallavi Sudhir | CC BY-SA 3.0 |
OEIS....................
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| Nov 9, 2013 at 7:48 | review | Suggested edits | |||
| S Nov 9, 2013 at 9:03 | |||||
| Aug 16, 2010 at 9:33 | comment | added | Torsten Ekedahl | I agree with Vipul, the difficult part for classification seems to be to reconcile two different views of the same group (i.e., the same group may have two different filtrations) and then compute the orbits under the action of the appropriate automorphism groups. The first problem can be alleviated by picking some canonical filtration such as upper or lower central series but then you have to identify which filtrations are of the chosen canonical type. However, calculations also of extension groups would be difficult but even just a conceptual framework can be useful. | |
| Aug 15, 2010 at 23:17 | comment | added | Vipul Naik | It's not completely clear to me why this problem should be as hard as the classification of groups of order 2^n. The object being constructed here contains a lot of repetitions and multiple countings of isomorphic groups -- the hard part could lie in identifying the repetitions, which is needed for a final classification up to isomorphism. The second cohomology group $H^2(G,A)$ contains a lot of elements, may of which give groups that later turn out to be isomorphic. Also, my interest is not in explicitly computing the object but in what algebraic properties it has and how to view it. | |
| Aug 15, 2010 at 22:42 | history | answered | Richard Borcherds | CC BY-SA 2.5 |