Solvable groups with a given solvable length, and minimal composition length
Group Theory
2014-05-26 v1
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.
Cite
@article{arxiv.math/0309313,
title = {Solvable groups with a given solvable length, and minimal composition length},
author = {S. P. Glasby},
journal= {arXiv preprint arXiv:math/0309313},
year = {2014}
}
Comments
LaTeX; 13 pages; 0 figures