Timeline for Calculating norms over a finite field (orthogonal groups).
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 7, 2010 at 18:59 | vote | accept | Leigh Bell | ||
| May 7, 2010 at 18:48 | comment | added | Robin Chapman | Isotropy of $u$ and $w$ means that $q(u)=q(w)=0$ where $q$ is the quadratic form in question. In your posting you actually discuss the case where both are nonzero. For the counting argument, think about how many pairs $(x,y)$ of elements in $\mathbb{F}_q$ satsify $xy=0$? $xy=1$? etc. | |
| May 7, 2010 at 17:26 | comment | added | Leigh Bell | I was under the impression you could ensure $u$ and $w$ are isotropic. Also how would such a counting argument go in generality? I'm hoping if i can understand this part it'll help me derive the formula for $z_{m+1} | |
| May 7, 2010 at 16:42 | history | answered | Robin Chapman | CC BY-SA 2.5 |