The derived series of a finite p-group

Csaba Schneider

The derived series of a finite p-group

Group Theory 2007-05-23 v2

Authors: Csaba Schneider

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.

Cite

@article{arxiv.math/0510220,
  title  = {The derived series of a finite p-group},
  author = {Csaba Schneider},
  journal= {arXiv preprint arXiv:math/0510220},
  year   = {2007}
}

Comments

There are two related papers and version one had to be replaced after reogranisation of the material. Mathematical content is unchanged, but results have migrated from one paper to the other

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