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arXiv 2018-01-17 0 views

The shape of solvable groups with odd order

Glasby, S. P.

Original · EN

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, cᵒ, of a group with odd order and solvable length d satisfies 7⁽ᵈ⁻²⁾/⁵< cᵒ< 2ᵈ.

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