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A BOUND ON THE p-LENGTH OF P-SOLVABLE GROUPS
Published online by Cambridge University Press: 26 August 2014
Abstract
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.
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- Copyright © Glasgow Mathematical Journal Trust 2014