Timeline for Splitting subspaces and finite fields
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 10, 2016 at 19:19 | comment | added | Mikhail Goltvanitsa | I note that there are a lot of subspaces $W\neq aS$ such that the previous decomposition of $K$ is valid for one element $\theta\in A$. | |
| Feb 10, 2016 at 16:35 | comment | added | Ehud Meir | sorry, you are right, I have a mistake there. | |
| Feb 10, 2016 at 16:28 | comment | added | Mikhail Goltvanitsa | If I get you right, in your assumptions on $m,n$ elements from $K\setminus S$ are primitive. But I think that it is not true. Let us see the following case. $q=2, m = 2, n = 2$. Then $R = \mathrm{GF}(2)<S = \mathrm{GF}(4)<K = \mathrm{GF}(16)$. There are $3$ non-primitive elements from $K\setminus S$. | |
| Feb 10, 2016 at 16:01 | history | edited | Ehud Meir | CC BY-SA 3.0 |
added 617 characters in body
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| Feb 10, 2016 at 15:44 | comment | added | Mikhail Goltvanitsa | Thank you very much. I know about this simple case, but forget to write about it. What do you think about other types of such subspaces $W$? | |
| Feb 10, 2016 at 15:04 | history | answered | Ehud Meir | CC BY-SA 3.0 |