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arXiv · 1801.05536

The shape of solvable groups with odd order

S. P. Glasby
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Abstract

We prove that the minimal composition length, $c$, of a solvable group with solvable length $d$ satisfies $9^{(d-3)/9}< c< 9^{(d+1)/5}$, and the minimal composition length, $c^o$, of a group with odd order and solvable length $d$ satisfies $7^{(d-2)/5}< c^o< 2^d$.

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S. P. Glasby. 2018-01-17. The shape of solvable groups with odd order. https://arxiv.org/abs/1801.05536

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