The derived series of a finite p-group

Abstract

AbstractLet G be a finite p-group, and let G(d) denote the dth term of the derived series of G. We show, for p⩾5, that G(d)≠1 implies logp|G|⩾2d+3d−6, and hence we improve a recent result by Mann

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This paper was published in Elsevier - Publisher Connector .

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