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Solvable groups with a given solvable length, and minimal composition length

S. P. Glasby
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Abstract

Let c(d) denote the minimal composition length of all finite solvable groups with solvable (or derived) length d. We prove that c(d) equals 0,1,2,4,5,7,8,13,15 when d=0,1,2,3,4,5,6,7,8.

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S. P. Glasby. 2003-09-19. Solvable groups with a given solvable length, and minimal composition length. https://arxiv.org/abs/math/0309313

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