Geodesic
A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS
Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 167-171

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DOI

Let G be a finite p-solvable group and P a Sylow p-subgroup of G. Suppose that $\gamma_{\ell (p-1)}(P)\subseteq \gamma_r(P)^{p^s}$ for l(p−1) < r + s(p − 1), then the p-length is bounded by a function depending on l. 
GONZÁLEZ-SÁNCHEZ, JON; SPAGNUOLO, FRANCESCA. A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS. Glasgow mathematical journal, Tome 57 (2015) no. 1, pp. 167-171. doi: 10.1017/S0017089514000196
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