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

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

2003-09-19

arxiv.org/abs/math/0309313v1

Mathematics

Group Theory

LaTeX; 13 pages; 0 figures

Scientific paper

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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