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

S. P. Glasby

math.GRarXiv:math/0309313

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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