Timeline for Simple groups of Lie type
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 30, 2015 at 15:29 | vote | accept | M.B | ||
| Oct 30, 2015 at 14:07 | review | Close votes | |||
| Oct 30, 2015 at 15:30 | |||||
| Oct 30, 2015 at 13:55 | comment | added | Jim Humphreys | The questions aren't at research-level, so should be asked first at a site such as math.stackexchange. Also, the formulation isn't quite right: being defined over $\mathbb{Z}$ (whatever that means) isn't the point here: $G$ should be assumed to be defined and split over a finite prime field. (Here the assumption that $G$ is "simple" just means that it is simple in the sense of algebraic groups, not abstract groups.) The results Jay quotes go back to Chevalley, Steinberg, et al., and are found in many sources such as Steinberg's 1967-68 Yale lectures: math.ucla.edu/~rst | |
| Oct 30, 2015 at 9:50 | answer | added | Jay Taylor | timeline score: 5 | |
| Oct 30, 2015 at 9:27 | comment | added | Jay Taylor | Essentially yes. See Theorem 24.17 in the book "Linear Algebraic Groups and Finite Groups of Lie Type" by Malle and Testerman. There are some exceptions for very small groups, generally when $q = 2$, but it's a small list. | |
| Oct 30, 2015 at 9:14 | history | asked | M.B | CC BY-SA 3.0 |