There are some theorems saying that the closure of a braid of a specific form is fibered. For instance, a theorem of Stallings says that the closure of a homogeneous braid is a fibered knot.
I am curious about the other direction:
If $K$ is a fibered knot which is a closure of a braid $\beta$, then what can we say about $\beta$? Is there any structural theorem of fibered knots in terms of their braid words?
Any comment or suggestion about references will be greatly appreciated.