Timeline for On the divisibility of the special linear group of degree $n$ over an algebraically closed field
Current License: CC BY-SA 3.0
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| Oct 23, 2015 at 2:20 | comment | added | LSpice | Of course this example requires $\zeta^n = 1$ (or else $A \not\in \operatorname{SL}_n(k)$), and so I think doesn't work when $n$ is the characteristic of $k$. | |
| Mar 21, 2013 at 21:26 | comment | added | Salvo Tringali | Clear and very nice. I really wonder if one can cluster all the matrices in ${\rm SL}_n(\mathbb C)$ which don't have a $p$-th root for some prime $p \le n$ in a finite number of conjugacy classes: Your example is still very particular, which tempts me to think that there may be only "few" exceptions. | |
| Mar 21, 2013 at 20:06 | history | edited | Ralph | CC BY-SA 3.0 |
deleted 3 characters in body; deleted 29 characters in body
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| Mar 21, 2013 at 19:59 | history | answered | Ralph | CC BY-SA 3.0 |