  Let $F$ be a non-discrete non-Archimedean locally compact field. In this
article for a level zero Bernstein component $s$, we classify those irreducible
smooth representations of ${\rm GL}_n{\integers{F}}$ (called typical
representations) whose appearance in a smooth irreducible representation $\pi$
of ${\rm GL}_n{F}$ implies that the cuspidal support of $\pi$ is $s$. These
results extend, for level zero representations, the results of Henniart and
Pa\v{s}k\={u}nas on cuspidal representations. The results are independent of
the characteristic of the base field.
