Mathematics – Group Theory
Scientific paper
2005-10-11
Mathematics
Group Theory
There are two related papers and version one had to be replaced after reogranisation of the material. Mathematical content is
Scientific paper
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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