On Complemented Non-Abelian Chief Factors of a Lie Algebra
JOURNAL OF LIE THEORY, cilt.28, sa.2, ss.427-442, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 28 Sayı: 2
- Basım Tarihi: 2018
- Dergi Adı: JOURNAL OF LIE THEORY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.427-442
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
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].