English

On the Fitting length of finite soluble groups I

Group Theory 2015-07-29 v1

Abstract

Let GG be a finite soluble group and h(G)h(G) its Fitting length. The aim of this paper is to give certain upper bounds for h(G)h(G) as functions of the Fitting length of at least three Hall subgroups of GG which factorize GG in a particular way.

Keywords

Cite

@article{arxiv.1507.07663,
  title  = {On the Fitting length of finite soluble groups I},
  author = {Giorgio Busetto and Enrico Jabara},
  journal= {arXiv preprint arXiv:1507.07663},
  year   = {2015}
}