On complemented non-abelian chief factors of a Lie algebra
Rings and Algebras
2015-09-25 v1 Group Theory
Representation Theory
Abstract
The number of Frattini chief factors or of chief factors which are complemented by a maximal subalgebra of a finite-dimensional Lie algebra is the same in every chief series for , by \cite[Theorem 2.3]{[11]}. However, this is not the case for the number of chief factors which are simply complemented in . In this paper we determine the possible variation in that number.
Keywords
Cite
@article{arxiv.1509.07282,
title = {On complemented non-abelian chief factors of a Lie algebra},
author = {David A. Towers and Zekiye Ciloglu},
journal= {arXiv preprint arXiv:1509.07282},
year = {2015}
}