The shape of solvable groups with odd order

Abstract

Abstract. The minimal composition length, c, of a solvable group with solvable length d satisfies 9(d−3)/9 < c < 9 (d+1)/5 . The minimal composition length, c o , of a group with odd order and solvable length d satisfies

The derived series of a finite p-group

“…Glasby [9,10] studied soluble groups with a fixed derived length and smallest possible composition length.…”