The Frattini p-subsystem of a Solvable Restricted Lie Triple System

The Frattini p-subsystem of a Solvable Restricted Lie Triple System

As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some results of Frattini p-subalgebra for restricted Lie algebras, obtain some propertie...

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Veröffentlicht in:Acta mathematica Sinica. English series 2010-10, Vol.26 (10), p.1887-1898
Hauptverfasser: Chen, Liang Yun, Liu, Dong
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Mathematical analysis
Mathematics
Mathematics and Statistics
Studies
子系统
李三系
李代数
限制李超代数
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Zusammenfassung:As a natural generalization of a restricted Lie algebra, a restricted Lie triple system was defined by Hodge. In this paper, we develop initially the Frattini theory for restricted Lie triple systems, generalize some results of Frattini p-subalgebra for restricted Lie algebras, obtain some properties of the Frattini p-subsystem and give the relationship between Фp（T） and Ф（T） for solvable Lie triple systems.
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-010-9251-8