Timeline for Minimal degrees of finite simple groups
Current License: CC BY-SA 4.0
7 events
when toggle format | what | by | license | comment | |
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Dec 11, 2021 at 20:00 | comment | added | Sean Eberhard | Because I'm asking about simple groups, nontrivial representations are automatically faithful. | |
Dec 11, 2021 at 19:59 | comment | added | Sean Eberhard | Uh, yes. OK what I should have said is I'm looking for a more precise answer. E.g., what is the exact minimal degree of $\mathrm{PSp}_{2n}(q)$ etc for all $n$ and $q$. | |
Dec 11, 2021 at 17:51 | comment | added | Sam Hopkins | Sorry, I'm confused. The linked question is about ordinary representations, which is what you're also asking about, right? Also: is it important that the representation be faithful? | |
Dec 11, 2021 at 14:26 | comment | added | Sean Eberhard | Right: ordinary as opposed to projective. That question is related, but note that projective degrees are often smaller. E.g., the minimal degree of $A_5$ is $3$, but since the universal cover of $\mathrm{SO}(3)$ is $\mathrm{SU}(2)$ it has a 2-fold cover (the binary icoasahedral group) with a 2-dimensional complex representation. | |
Dec 11, 2021 at 14:22 | comment | added | Sam Hopkins | "Minimal ordinary degree" = minimal degree of a nontrivial irrep.? This seems related: mathoverflow.net/questions/400864/… | |
Dec 11, 2021 at 14:19 | history | edited | YCor |
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Dec 11, 2021 at 14:02 | history | asked | Sean Eberhard | CC BY-SA 4.0 |