On the Fitting height of soluble groups admitting a coprime factorisation

Carlo Casolo; Enrico Jabara; Pablo Spiga

On the Fitting height of soluble groups admitting a coprime factorisation

Group Theory 2013-11-19 v1

Authors: Carlo Casolo , Enrico Jabara , Pablo Spiga

Abstract

In this paper we are concerned with finite soluble groups $G$ admitting a factorisation $G=AB$ , with $A$ and $B$ proper subgroups having coprime order. We are interested in bounding the Fitting height of $G$ in terms of some group-invariants of $A$ and $B$ : including the Fitting heights and the derived lengths.

Keywords

finite group theory combinatorial group theory group theory

Cite

@article{arxiv.1311.4314,
  title  = {On the Fitting height of soluble groups admitting a coprime factorisation},
  author = {Carlo Casolo and Enrico Jabara and Pablo Spiga},
  journal= {arXiv preprint arXiv:1311.4314},
  year   = {2013}
}

Comments

10 pages

Related papers

View all related →