Timeline for Reference request: A theorem by S. Garrison
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2010 at 17:52 | vote | accept | Tobias Kildetoft | ||
| Apr 13, 2010 at 15:41 | answer | added | Jack Schmidt | timeline score: 8 | |
| Apr 13, 2010 at 15:21 | comment | added | Jack Schmidt | cd(G) = { χ(1) : χ in Irr(G) } is the set of character degrees of G, and dl(G) is the derived length of G. The set of character degrees, even just its size, exerts quite a bit of control over the structure of a group. This is the focus of chapter 12 of Isaacs's book, and still has lots of interesting open problems. For many groups it is quite difficult / infeasible to get the character table, but often the degrees are known, and often the degrees are all that are needed. | |
| Apr 13, 2010 at 14:43 | answer | added | Jim Humphreys | timeline score: 1 | |
| Apr 13, 2010 at 14:06 | comment | added | Mariano Suárez-Álvarez | What are $cd$ and $dl$? I read your first sentenced and wondered why is he taking absolute value of the cohomological dimension? :) | |
| Apr 13, 2010 at 13:05 | history | asked | Tobias Kildetoft | CC BY-SA 2.5 |