Timeline for Bound on the size of group related to a matrix basis
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Mar 14 at 21:20 | comment | added | Ian Gershon Teixeira | are all groups of central type 2-step nilpotent? | |
| Feb 13, 2023 at 15:50 | history | edited | LSpice | CC BY-SA 4.0 |
Typo, while this is on the front page
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| Nov 14, 2021 at 19:52 | comment | added | Ian Gershon Teixeira | You're right just a misunderstanding! Everything sounds good then, thanks again for the great answer! | |
| Nov 14, 2021 at 19:47 | comment | added | Frieder Ladisch | I'm not sure what you mean, but maybe there is a misunderstanding here: I do not claim that the extraspecial group with $3^3$ elements has such a representation over the reals. I claim that when $G$ is a group of $3\times 3$ matrices over some field as in your question, then that field must contain primitive 3rd roots of unity. | |
| Nov 14, 2021 at 19:28 | vote | accept | Ian Gershon Teixeira | ||
| Nov 14, 2021 at 19:28 | comment | added | Ian Gershon Teixeira | Everything in here looks great thanks so much! The one question I still have is could you give an example of the general result over (non algebraically closed) fields. For example could you give a 3 dimensional real representation of the extraspecial 3-group with $ 3^3=27 $ elements. I am a bit surprised that this exitsts. | |
| Nov 13, 2021 at 18:12 | history | answered | Frieder Ladisch | CC BY-SA 4.0 |