The Fitting height is bounded by a function of the exponent
Group Theory
2021-11-16 v3
Abstract
Every finite solvable group has a normal series with nilpotent factors. The smallest possible number of factors in such a series is called the Fitting height . In the present paper, we derive an upper bound for in terms of the exponent of . Our bound constitutes a considerable improvement of an earlier bound obtained by Shalev.
Cite
@article{arxiv.2110.08852,
title = {The Fitting height is bounded by a function of the exponent},
author = {Francesco Fumagalli and Felix Leinen and Orazio Puglisi},
journal= {arXiv preprint arXiv:2110.08852},
year = {2021}
}