Let $G$ be a finite metabelian $p$-group whose non-linear irreducible character degrees lie between $p^a$ and $p^b$, where $1 < a \le b$. In this paper it is shown that the nilpotence class of $G$ is bounded by a function of $p$ and $b-a$.
"A Remark on Character Degrees and Nilpotence Class in $p$-Groups." Missouri J. Math. Sci. 19 (1) 49 - 51, February 2007. https://doi.org/10.35834/mjms/1316092237