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arXiv · 1311.6665

A bound on the p-length of p-solvable groups

Jon Gonzalez-Sanchez·Francesca Spagnuolo
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Abstract

Let G be a finite p-solvable group and P a Sylow p-subgroup of G. Suppose that $γ_{l(p-1)}(P)\subseteq γ_r(P)^{p^s}$ for $l(p-1)<r+s(p-1)$, then the p-length is bounded by a function depending on l.

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Jon Gonzalez-Sanchez, Francesca Spagnuolo. 2013-11-26. A bound on the p-length of p-solvable groups. https://arxiv.org/abs/1311.6665

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