Timeline for Non existence of cyclic infinite linear algebraic groups
Current License: CC BY-SA 3.0
10 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2014 at 9:30 | comment | added | Jérémy Blanc | For my purpose, I only need cyclic, but you are right that finitely generated seems natural too. | |
| Mar 29, 2014 at 9:28 | comment | added | YCor | "infinite cyclic" sounds a bit focused and unstable... the same question with "infinite finitely generated" would be more natural. | |
| Mar 28, 2014 at 20:02 | answer | added | Jim Humphreys | timeline score: 1 | |
| Mar 28, 2014 at 11:34 | answer | added | Venkataramana | timeline score: 4 | |
| Mar 28, 2014 at 11:20 | history | edited | Jérémy Blanc | CC BY-SA 3.0 |
edited title
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| Mar 28, 2014 at 9:49 | comment | added | Jérémy Blanc | Yes, the difficult case is when the field is infinite but countable (and I am also interested in positive characteristic by the way, but I think that this should not change the result). | |
| Mar 28, 2014 at 8:59 | comment | added | abx | Interesting question. In characteristic 0, a linear group is unirational (this is due to Chevalley), so if $k$ is uncountable $G(k)$ must be very large. Even if $k$ is countable I would expect "too many" points, but I don't know how to get a proof from that. | |
| Mar 28, 2014 at 7:25 | history | edited | Jérémy Blanc | CC BY-SA 3.0 |
added 135 characters in body
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| Mar 28, 2014 at 2:23 | answer | added | user48841 | timeline score: 10 | |
| Mar 27, 2014 at 23:41 | history | asked | Jérémy Blanc | CC BY-SA 3.0 |