On Complemented Non-Abelian Chief Factors of a Lie Algebra
JOURNAL OF LIE THEORY, vol.28, no.2, pp.427-442, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 28 Issue: 2
- Publication Date: 2018
- Journal Name: JOURNAL OF LIE THEORY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.427-442
- Süleyman Demirel University Affiliated: Yes
Abstract
The number of Frattini chief factors or of chief factors which are complemented by a maximal subalgebra of a finite-dimensional Lie algebra L is the same in every chief series for L, by [4, Theorem 2.3]. However, this is not the case for the number of chief factors which are simply complemented in L. In this paper we determine the possible variation in that number. The same question for groups has been considered by Seral and Lafuente in [2].