Engel subnormal subgroups of skew linear groups

Engel subnormal subgroups of skew linear groups

Let D be a division ring with uncountable center and n a natural number. In this article we show that every Engel subnormal subgroup of GLn(D) is central. This affirmatively answered a question posed in Ramezan-Nassab and Kiani (2012) [8], in the uncountable center case.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2018-12, Vol.558, p.74-78
Hauptverfasser: Bien, M.H., Ramezan-Nassab, M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebraic group theory
Division ring
Engel group
Linear algebra
Numerical analysis
Subgroups
Subnormal subgroup
Theorems
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:Let D be a division ring with uncountable center and n a natural number. In this article we show that every Engel subnormal subgroup of GLn(D) is central. This affirmatively answered a question posed in Ramezan-Nassab and Kiani (2012) [8], in the uncountable center case.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2018.08.020