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The derived series of a finite p-group

Csaba Schneider
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Abstract

Let $G$ be a finite $p$-group, and let $\der Gd$ denote the $d$-th term of the derived series of $G$. We show, for $p\geq 5$, that $\der Gd\neq 1$ implies $\log_p\ord G\geq 2^d+3d-6$, and hence we improve a recent result by Mann.

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Csaba Schneider. 2005-10-25. The derived series of a finite p-group. https://arxiv.org/abs/math/0510220

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