Timeline for Is the set of rational points of an (almost) simple algebraic group simple?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Mar 1, 2023 at 18:26 | comment | added | Dave Benson | Exactly. The entire list is finite. | |
| Mar 1, 2023 at 15:24 | comment | added | LSpice | Just to have it said, these are not just low-rank examples, but small-field (not even small-characteristic) examples; for fields of order $4$ or more, this issue does not arise (although we do still usually have to consider, not the rational points of the full adjoint group, but only the image of the simply connected cover). | |
| Feb 27, 2023 at 23:25 | comment | added | Dave Benson | I suppose the point of these low rank examples is that even if you try to deYCor your question by stipulating that G is simply connected, and only quotient out the centre after taking K-rational points, then these low rank examples will persist. | |
| Feb 27, 2023 at 18:19 | history | answered | Dave Benson | CC BY-SA 4.0 |